Engage NY Eureka Math 4th Grade Module 5 Lesson 30 Answer Key
Eureka Math Grade 4 Module 5 Lesson 30 Sprint Answer Key
A
Change Fractions to Mixed Numbers
Answer:
3 = 2 + 1, 3/2 = 2/2 + 1/2, 3/2 = 1 + 1/2, 3/2 = 1(1/2), 5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 4 = 3 + 1, 4/3 = 3/3 + 1/3, 4/3 = 1 + 1/3, 4/3 = 1(1/3), 7 = 5 + 2, 7/5 = 5/5 + 2/5, 7/5 = 1 + 2/5, 7/5 = 1(1/5), 8/5 = 1(3/5), 9/5 = 1(4/5), 6/5 = 1(1/5), 10/5 = 2, 11/5 = 10/5 + 1/5, 11/5 = 2 + 1/5, 6/3 = 2, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2 + 2/3, 8/3 = 2(2/3), 9/4 = 8/4 + 1/4, 9/4 = 2 + 1/4, 11/4 = 2(3/4), 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 6/3 + 2/3, 8/3 = 2(2/3), 14/5 = 10/5 + 4/5, 14/5 = 10/5 + 4/5, 14/5 = 2(4/5), 13/5 = 2(3/5), 9/8 = 1 + 1/8, 15/8 = 1 + 7/8, 17/12 = 12/12 + 5/12, 11/8 = 1 + 3/8, 17/12 = 1 + 5/12.
Explanation:
In the above-given question,
given that,
change fractions to mixed numbers.
Question 1.
3 = 2 + ___1___
Answer:
3 = 2 + 1.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3 = 2 + 1.
2 + 1 = 3.
\(\frac{3}{2}\) = \(\frac{2}{2}\) + \(\frac{1}{2}\)
Answer:
3/2 = 2/2 + 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 2/2 + 1/2.
2 + 1 = 3.
2/2 + 1/2 = 3/2.
Question 3.
\(\frac{3}{2}\) = 1 + \(\frac{1}{2}\)
Answer:
3/2 = 1 + 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 1 + 1/2.
2 + 1 = 3.
1 + 1/2 = 3/2.
Question 4.
\(\frac{3}{2}\) = 1\(\frac{1}{2}\)
Answer:
3/2 = 1 x 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 1 x 1/2.
2 + 1 = 3.
1 x 1/2 = 3/2.
Question 5.
5 = 4 + __1___
Answer:
5 = 4 + 1.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5 = 4 + 1.
4 + 1 = 5.
Question 6.
\(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)
Answer:
5/4 = 4/4 + 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 4/4 + 1/4.
4 + 1 = 5.
1/4 + 4/4 = 5/4.
Question 7.
\(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)
Answer:
5/4 = 1 + 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1 + 1/4.
4 + 1 = 5.
1 + 1/4 = 5/4.
Question 8.
\(\frac{5}{4}\) = 1\(\frac{1}{4}\)
Answer:
5/4 = 1 x 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1 x 1/4.
4 + 1 = 5.
1 x 1/4 = 5/4.
Question 9.
4 = __3__ + 1
Answer:
4 = 3 + 1.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4 = 3 + 1.
3 + 1 = 4.
Question 10.
\(\frac{4}{3}\) = \(\frac{3}{3}\) + \(\frac{1}{3}\)
Answer:
4/3 = 3/3 + 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 3/3 + 1/3.
3 + 1 = 4.
1/3 + 3/3 = 4/3.
Question 11.
\(\frac{4}{3}\) = 1 + \(\frac{1}{3}\)
Answer:
4/3 = 1 + 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1 + 1/3.
3 + 1 = 4.
1/3 + 1 = 4/3.
Question 12.
\(\frac{4}{3}\) = __1___ \(\frac{1}{3}\)
Answer:
4/3 = 1 x 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1 x 1/3.
3 + 1 = 4.
1/3 x 1 = 4/3.
Question 13.
7 = __5__ + 2
Answer:
7 = 5 + 2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7 = 5 + 2.
2 + 5 = 7.
Question 14.
\(\frac{7}{5}\) = \(\frac{5}{5}\) + \(\frac{2}{5}\)
Answer:
7/5 = 5/5 + 2/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/5 = 5/5 + 2/5.
5 + 2 = 7.
5/5 + 2/5 = 7/5.
Question 15.
\(\frac{7}{5}\) = 1 + \(\frac{2}{5}\)
Answer:
7/5 = 1 + 2/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/5 = 1 + 2/5.
6 + 1 = 7.
2/5 + 1 = 7/5.
Question 16.
\(\frac{7}{5}\) = 1\(\frac{1}{5}\)
Answer:
7/5 = 1 x 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/5 = 1 x 1/5.
6 + 1 = 7.
1/5 x 1 = 7/5.
Question 17.
\(\frac{8}{5}\) = 1\(\frac{1}{5}\)
Answer:
8/5 = 1 x 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 1 x 1/5.
7 + 1 = 8.
1/5 x 1 = 8/5.
Question 18.
\(\frac{9}{5}\) = 1\(\frac{4}{5}\)
Answer:
9/5 = 1 x 4/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/5 = 1 x 4/5.
8 + 1 = 9.
4/5 x 1 = 9/5.
Question 19.
\(\frac{6}{5}\) = 1\(\frac{1}{5}\)
Answer:
6/5 = 1 x 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 x 1/5.
5 + 1 = 6.
1/5 x 1 = 6/5.
Question 20.
\(\frac{10}{5}\) = 2.
Answer:
10/5 = 2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
10/5 = 2.
5 x 2 = 10.
2 = 10/5.
Question 21.
\(\frac{11}{5}\) = \(\frac{10}{5}\) + \(\frac{1}{5}\)
Answer:
11/5 = 10/5 + 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 10/5 + 1/5.
10 + 1 = 11.
10/5 + 1/5 = 11/5.
Question 22.
\(\frac{11}{5}\) = 2 + \(\frac{1}{5}\)
Answer:
11/5 = 2 + 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 2 + 1/5.
10 + 1 = 11.
1/5 + 2 = 11/5.
Question 23.
\(\frac{6}{3}\) = 2.
Answer:
6/3 = 2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/3 = 2.
3 x 2 = 6.
2 = 6/3.
Question 24.
\(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)
Answer:
8/3 = 6/3 + 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 6/3 + 2/3.
6 + 2 = 8.
2/3 + 6/3 = 8/3.
Question 25.
\(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)
Answer:
8/3 = 6/3 + 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 6/3 + 2/3.
6 + 2 = 8.
6/3 + 2/3 = 8/3.
Question 26.
\(\frac{8}{3}\) = 2 + \(\frac{2}{3}\)
Answer:
8/3 = 2 + 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 + 2/3.
7 + 1 = 8.
2 + 2/3 = 8/3.
Question 27.
\(\frac{8}{3}\) = 2\(\frac{2}{3}\)
Answer:
8/3 = 2 + 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 + 2/3.
7 + 1 = 8.
2 + 2/3 = 8/3.
Question 28.
\(\frac{9}{4}\) = \(\frac{8}{4}\) + \(\frac{1}{4}\)
Answer:
9/4 = 8/4 + 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/4 = 8/4 + 1/4.
6 + 2 = 8.
1/4 + 8/4 = 9/4.
Question 29.
\(\frac{9}{4}\) = 2 + \(\frac{1}{4}\)
Answer:
9/4 = 2 + 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/4 = 2 + 1/4.
8 + 1 = 9.
2 + 1/4 = 9/4.
Question 30.
\(\frac{9}{4}\) = ___2__ \(\frac{1}{4}\)
Answer:
9/4 = 2 x 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/4 = 2 x 1/4.
8 + 1 = 9.
2 x 1/4 = 9/4.
Question 31.
\(\frac{11}{4}\) = ___2__ \(\frac{3}{4}\)
Answer:
11/4 = 2 x 3/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 2 x 3/4.
10 + 1 = 11.
2 x 3/4 = 11/4.
Question 32.
\(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)
Answer:
8/3 = 6/3 + 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 6/3 + 2/3.
6 + 2 = 8.
6/3 + 2/3 = 8/3.
Question 33.
\(\frac{8}{3}\) = \(\frac{6}{3}\) + \(\frac{2}{3}\)
Answer:
8/3 = 6/3 + 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 6/3 + 2/3.
6 + 2 = 8.
6/3 + 2/3 = 8/3.
Question 34.
\(\frac{8}{3}\) =
Answer:
8/3 = 2 + 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 + 2/3.
6 + 2 = 8.
2/3 + 2 = 8/3.
Question 35.
\(\frac{8}{3}\) = ___2___ \(\frac{2}{3}\)
Answer:
8/3 = 2 x 2/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 x 2/3.
6 + 2 = 8.
2/3 x 2 = 8/3.
Question 36.
\(\frac{14}{5}\) = \(\frac{10}{5}\) + \(\frac{4}{5}\)
Answer:
14/5 = 10/5 + 4/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/5 = 10/5 + 4/5.
10 + 4 = 14.
4/5 + 10/5 = 14/5.
Question 37.
\(\frac{14}{5}\) = ___2___ + \(\frac{4}{5}\)
Answer:
14/5 = 2 + 4/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/5 = 2 + 4/5.
10 + 4 = 14.
4/5 + 2 = 14/5.
Question 38.
\(\frac{14}{5}\) = 2\(\frac{4}{5}\)
Answer:
14/5 = 2 x 4/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/5 = 2 x 4/5.
10 + 4 = 14.
4/5 x 2 = 14/5.
Question 39.
\(\frac{13}{5}\) = 2\(\frac{3}{5}\)
Answer:
13/5 = 2 x 3/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/5 = 2 x 3/5.
10 + 3 = 13.
3/5 x 2 = 13/5.
Question 40.
\(\frac{9}{8}\) = 1 + \(\frac{1}{8}\)
Answer:
9/8 = 1 + 1/8.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/8 = 1 + 1/8.
8 + 1 = 9.
1/8 + 1 = 9/8.
Question 41.
\(\frac{15}{8}\) = 1 + \(\frac{7}{8}\)
Answer:
15/8 = 1 + 7/8.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/8 = 1 + 7/8.
10 + 5 = 15.
7/8 + 1 = 15/8.
Question 42.
\(\frac{17}{12}\) = \(\frac{12}{12}\) + \(\frac{5}{12}\)
Answer:
17/12 = 12/12 + 5/12.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/12 = 12/12 + 5/12.
12 + 5 = 17.
5/12 + 12/12 = 17/12.
Question 43.
\(\frac{11}{8}\) = 1 + \(\frac{3}{8}\)
Answer:
11/8 = 1 + 3/8.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/8 = 1 + 3/8.
10 + 1 = 11.
3/8 + 1 = 11/8.
Question 44.
\(\frac{17}{12}\) = 1 + \(\frac{5}{12}\)
Answer:
17/12 = 1 + 5/12.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/12 = 1 + 5/12.
10 + 1 = 11.
5/12 + 1 = 17/12.
B
Change Fractions to Mixed Numbers
Answer:
6 = 5 +1, 6/5 = 5/5 + 1/5, 6/5 = 1 + 1/5, 6/5 = 1(1/5), 4 = 3 + 1, 4/3 = 3/3 + 1/3, 4/3 = 1 + 1/3, 4/3 = 1(1/3), 5 = 4 + 1, 5/4 = 4/4 + 1/4, 5/4 = 1 + 1/4, 5/4 = 1(1/4), 8 = 5 + 3, 8/5 = 5/5 + 3/8, 8/5 = 1 + 3/5, 8/5 = 1(1/5), 9/5 = 1(4/5), 6/5 = 1(1/5), 7/5 = 1(2/5), 6/3 = 2, 7/3 = 6/3 + 1/3, 7/3 = 2 + 1/3, 4/2 = 2, 5/2 = 4/2 + 1/2, 5/2 = 4/2 + 1/2, 5/2 = 4/2 + 1/2, 5/2 = 2 + 1/2, 5/2 = 2(1/2), 11/5 = 10/5 + 1/5, 11/5 = 2 + 1/5, 11/5 = 2(1/5), 13/5 = 2(3/5), 5/3 = 4/3 + 1/3, 5/2 = 4/2 + 1/2, 5/2 = 2 + 1/2, 5/2 = 2(1/2), 12/5 = 10/5 + 2/5, 12/5 = 2 + 2/5, 12/5 = 2(2/5), 14/5 = 2(4/5), 9/8 = 1 + 1/8, 11/8 = 1 + 3/8, 19/12 = 12/12 + 7/12, 15/8 = 1 + 7/8, 19/12 = 1 + 7/12.
Explanation:
In the above-given question,
given that,
change fractions to mixed numbers.
Question 1.
6 = 5 + __1____
Answer:
6 = 5 + 1.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6 = 5 + 1.
1 + 5 = 6.
Question 2.
\(\frac{6}{5}\) = \(\frac{5}{5}\) + \(\frac{1}{5}\)
Answer:
6/5 = 5/5 + 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 5/5 + 1/5.
5 + 1 = 6.
5/5 + 1/5 = 6/5.
Question 3.
\(\frac{6}{5}\) = 1 + \(\frac{1}{5}\)
Answer:
6/5 = 1 + 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 + 1/5.
5 + 1 = 6.
1/5 + 1 = 6/5.
Question 4.
\(\frac{6}{5}\) = 1\(\frac{1}{5}\)
Answer:
6/5 = 1 x 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 x 1/5.
5 + 1 = 6.
1/5 + 1 = 6/5.
Question 5.
4 = 3 + __1___
Answer:
4 = 3 + 1.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4 = 3 + 1.
1 + 3 = 4.
Question 6.
\(\frac{4}{3}\) = \(\frac{3}{3}\) + \(\frac{1}{3}\)
Answer:
4/3 = 3/3 + 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 3/3 + 1/3.
3 + 1 = 4.
3/3 + 1/3 = 4/3.
Question 7.
\(\frac{4}{3}\) = 1 + \(\frac{1}{3}\)
Answer:
4/3 = 1 + 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1 + 1/3.
3 + 1 = 4.
1/3 + 1 = 4/3.
Question 8.
\(\frac{4}{3}\) = 1\(\frac{1}{3}\)
Answer:
6/5 = 5/5 + 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 5/5 + 1/5.
5 + 1 = 6.
5/5 + 1/5 = 6/5.
Question 9.
5 = __4__ + 1
Answer:
5 = 4 + 1.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5 = 4 + 1.
1 + 4 = 5.
Question 10.
\(\frac{5}{4}\) = \(\frac{4}{4}\) + \(\frac{1}{4}\)
Answer:
5/4 = 4/4 + 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 4/4 + 1/4.
4 + 1 = 5.
4/4 + 1/4 = 5/4.
Question 11.
\(\frac{5}{4}\) = 1 + \(\frac{1}{4}\)
Answer:
5/4 = 1 + 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1 + 1/4.
4 + 1 = 5.
1/4 + 1 = 5/4.
Question 12.
\(\frac{5}{4}\) = __1___ \(\frac{1}{4}\)
Answer:
5/4 = 1 x 1/4.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1 x 1/4.
4 + 1 = 5.
1/4 x 1 = 5/4.
Question 13.
8 = __5__ + 3
Answer:
8 = 5 + 3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8 = 5 + 3.
3 + 5 = 8.
Question 14.
\(\frac{8}{5}\) = \(\frac{5}{5}\) + \(\frac{3}{5}\)
Answer:
8/5 = 5/5 + 3/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 5/5 + 3/5.
7 + 1 = 8.
5/5 + 3/5 = 8/5.
Question 15.
\(\frac{8}{5}\) = 1 + \(\frac{3}{5}\)
Answer:
8/5 = 1 + 3/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 1 + 3/5.
7 + 1 = 8.
3/5 + 1 = 8/5.
Question 16.
\(\frac{8}{5}\) = 1\(\frac{3}{5}\)
Answer:
8/5 = 1 x 3/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/5 = 1 x 3/5.
7 + 1 = 8.
3/5 x 1 = 8/5.
Question 17.
\(\frac{9}{5}\) = 1\(\frac{4}{5}\)
Answer:
9/5 = 1 x 4/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/5 = 1 x 4/5.
8 + 1 = 9.
4/5 x 1 = 9/5.
Question 18.
\(\frac{6}{5}\) = 1\(\frac{1}{5}\)
Answer:
6/5 = 1 x 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1 x 1/5.
5 + 1 = 6.
1/5 x 1 = 6/5.
Question 19.
\(\frac{7}{5}\) = 1\(\frac{2}{5}\)
Answer:
7/5 = 1 x 2/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/5 = 1 x 2/5.
6 + 1 = 7.
2/5 x 1 = 7/5.
Question 20.
\(\frac{6}{3}\) = 2
Answer:
2 = 6/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
2 = 6/3.
3 x 2 = 6.
6/3 = 2.
Question 21.
\(\frac{7}{3}\) = \(\frac{6}{3}\) + \(\frac{1}{3}\)
Answer:
7/3 = 6/3 + 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 6/3 + 1/3.
6 + 1 = 7.
1/3 + 6/3 = 7/3.
Question 22.
\(\frac{7}{3}\) = 2 + \(\frac{1}{3}\)
Answer:
7/3 = 2 + 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 2 + 1/3.
5 + 2 = 7.
1/3 + 2 = 7/3.
Question 23.
\(\frac{4}{2}\) = 2.
Answer:
2 = 4/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
2 = 4/2.
2 x 2 = 4.
4/2 = 2.
Question 24.
\(\frac{5}{2}\) = \(\frac{4}{2}\) + \(\frac{1}{2}\)
Answer:
5/2 = 4/2 + 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 4/2 + 1/2.
4 + 1 = 5.
1/2 + 4/2 = 5/2.
Question 25.
\(\frac{5}{2}\) = \(\frac{4}{2}\) + \(\frac{1}{2}\)
Answer:
5/2 = 4/2 + 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 4/2 + 1/2.
4 + 1 = 5.
1/2 + 4/2 = 5/2.
Question 26.
\(\frac{5}{2}\) = 2 + \(\frac{1}{2}\)
Answer:
5/2 = 2 + 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 2 + 1/2.
4 + 1 = 5.
1/2 + 2 = 5/2.
Question 27.
\(\frac{5}{2}\) = 2\(\frac{1}{2}\)
Answer:
5/2 = 2 x 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 2 x 1/2.
4 + 1 = 5.
1/2 x 2 = 5/2.
Question 28.
\(\frac{11}{5}\) = \(\frac{10}{5}\) + \(\frac{1}{5}\)
Answer:
11/5 = 10/5 + 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 10/5 + 1/5.
10 + 1 = 11.
10/5 + 1/5 = 11/5.
Question 29.
\(\frac{11}{5}\) = 2 + \(\frac{1}{5}\)
Answer:
11/5 = 2 + 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 2 + 1/5.
10 + 1 = 11.
1/5 + 2 = 11/5.
Question 30.
\(\frac{11}{5}\) = __2___ \(\frac{1}{5}\)
Answer:
11/5 = 2 x 1/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 2 x 1/5.
10 + 1 = 11.
1/5 x 2 = 11/5.
Question 31.
\(\frac{13}{5}\) = __2___ \(\frac{3}{5}\)
Answer:
13/5 = 2 x 3/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/5 = 2 x 3/5.
10 + 3 = 13.
3/5 x 2 = 13/5.
Question 32.
\(\frac{5}{3}\) = \(\frac{4}{3}\) + \(\frac{1}{3}\)
Answer:
5/3 = 4/3 + 1/3.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/3 = 4/3 + 1/3.
4 + 1 = 5.
1/3 + 4/3 = 5/3.
Question 33.
\(\frac{5}{2}\) = \(\frac{4}{2}\) + \(\frac{1}{2}\)
Answer:
5/2 = 4/2 + 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 4/2 + 1/2.
4 + 1 = 5.
1/2 + 4/2 = 5/2.
Question 34.
\(\frac{5}{2}\) = ____2__ + \(\frac{1}{2}\)
Answer:
5/2 = 2 + 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 2 + 1/2.
4 + 1 = 5.
1/2 + 2 = 5/2.
Question 35.
\(\frac{5}{2}\) = __2____ \(\frac{1}{2}\)
Answer:
5/2 = 2 x 1/2.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 2 x 1/2.
4 + 1 = 5.
1/2 x 2 = 5/2.
Question 36.
\(\frac{12}{5}\) = \(\frac{10}{5}\) + \(\frac{2}{5}\)
Answer:
12/5 = 10/5 + 2/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
12/5 = 10/5 + 2/5.
10 + 2 = 12.
2/5 + 10/5 = 12/5.
Question 37.
\(\frac{12}{5}\) = ___2___ + \(\frac{2}{5}\)
Answer:
12/5 = 2 + 2/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
12/5 = 2 + 2/5.
11 + 1 = 12.
2/5 + 2 = 12/5.
Question 38.
\(\frac{12}{5}\) = 2\(\frac{2}{5}\)
Answer:
12/5 = 2 x 2/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
12/5 = 2 x 2/5.
11 + 1 = 12.
2/5 x 2 = 12/5.
Question 39.
\(\frac{14}{5}\) = 2\(\frac{4}{5}\)
Answer:
14/5 = 2 x 4/5.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/5 = 2 x 4/5.
13 + 1 = 14.
4/5 x 2 = 14/5.
Question 40.
\(\frac{9}{8}\) = 1 + \(\frac{1}{8}\)
Answer:
9/8 = 1 + 1/8.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/8 = 1 + 1/8.
8 + 1 = 9.
1/8 + 1 = 9/8.
Question 41.
\(\frac{11}{8}\) = 1 + \(\frac{3}{8}\)
Answer:
11/8 = 1 + 3/8.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/8 = 1 + 3/8.
8 + 1 = 9.
3/8 + 1 = 11/8.
Question 42.
\(\frac{19}{12}\) = \(\frac{12}{12}\) + \(\frac{7}{12}\)
Answer:
19/12 = 12/12 + 7/12.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/12 = 12/12 + 7/12.
10 + 2 = 12.
7/12 + 12/12 = 19/12.
Question 43.
\(\frac{15}{8}\) = 1 + \(\frac{7}{8}\)
Answer:
15/8 = 1 + 7/8.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/8 = 1 + 7/8.
14 + 1 = 15.
7/8 + 1 = 15/8.
Question 44.
\(\frac{19}{12}\) = 1 + \(\frac{7}{12}\)
Answer:
19/12 = 1 + 7/12.
Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/12 = 1 + 7/12.
10 + 9 = 19.
7/12 + 1 = 19/12.
Eureka Math Grade 4 Module 5 Lesson 30 Problem Set Answer Key
Question 1.
Solve.
a. 3\(\frac{1}{4}\) + \(\frac{1}{4}\)
Answer:
3(1/4) + (1/4) = 14/4.
Explanation:
In the above-given question,
given that,
Addition the fractions.
3(1/4) + (1/4).
3 x 4 = 12.
12 + 1/4 = 13/4.
13/4 + 1/4 = 14/4.
3(1/4) + (1/4) = 14/4.
b. 7\(\frac{3}{4}\) + \(\frac{1}{4}\)
Answer:
7(3/4) + (1/4) = 32/4.
Explanation:
In the above-given question,
given that,
Addition the fractions.
7(3/4) + (1/4).
7 x 4 = 28.
28 + 3/4 = 31/4.
31/4 + 1/4 = 32/4.
7(3/4) + (1/4) = 32/4.
c. \(\frac{3}{8}\) + 5\(\frac{2}{8}\)
Answer:
5(2/8) + (3/8) = 46/8.
Explanation:
In the above-given question,
given that,
Add the fractions.
5(2/8) + (3/8).
5 x 8 = 40.
40 + 3/8 = 43/8.
43/8 + 3/8 = 46/8.
5(2/8) + (3/8) = 46/8.
d. \(\frac{1}{8}\) + 6\(\frac{7}{8}\)
Answer:
6(7/8) + (1/8) = 56/8.
Explanation:
In the above-given question,
given that,
Add the fractions.
6(7/8) + (1/8).
6 x 8 = 48.
48 + 7/8 = 55/8.
55/8 + 1/8 = 56/8.
6(7/8) + (1/8) = 56/8.
Question 2.
Complete the number sentences.
a. 4\(\frac{7}{8}\) + _1____ = 5
Answer:
4(7/8) + 1 = 5.
Explanation:
In the above-given question,
given that,
complete the number sentences.
4(7/8) + 1.
8 x 4 = 32.
32 + 7 = 39.
39 + 1 = 40.
40/8 = 5.
b. 7\(\frac{2}{5}\) + __3___ = 8
Answer:
7(2/5) + 3 = 8.
Explanation:
In the above-given question,
given that,
complete the number sentences.
7(2/5) + 3.
7 x 5 = 35.
35 + 2 = 37.
37 + 3 = 40.
40/5 = 8.
c. 3 = 2\(\frac{1}{6}\) + ___5___
Answer:
2(1/6) + 5 = 3.
Explanation:
In the above-given question,
given that,
complete the number sentences.
2(1/6) + 5.
2 x 6 = 12.
12 + 1 = 13.
13 + 5 = 18.
18/6 = 3.
d. 12 = 11\(\frac{1}{12}\) + ___12___
Answer:
11(1/12) + 12 = 12.
Explanation:
In the above-given question,
given that,
complete the number sentences.
11(1/12) + 12.
11 x 12 = 132.
132 + 12 = 144.
144/12 = 12.
Question 3.
Use a number bond and the arrow way to show how to make one. Solve.
Answer:
2(3/4) + (2/4) = 13/4.
Explanation:
In the above-given question,
given that,
Addition the fractions.
2(3/4) + (2/4).
2 x 4 = 8.
8 + 3/4 = 11/4.
11/4 + 2/4 = 13/4.
2(3/4) + (2/4) = 13/4.
Question 4.
Solve.
a. 4\(\frac{2}{3}\) + \(\frac{2}{3}\)
Answer:
4(2/3) + (2/3) = 16/3.
Explanation:
In the above-given question,
given that,
Addition the fractions.
4(2/3) + (2/3).
3 x 4 = 12.
12 + 2/3 = 14/3.
14/3 + 2/3 = 16/3.
4(2/3) + (2/3) = 16/3.
b. 3\(\frac{3}{5}\) + \(\frac{4}{5}\)
Answer:
3(3/5) + (4/5) = 22/5.
Explanation:
In the above-given question,
given that,
Addition the fractions.
3(3/5) + (4/5).
3 x 5 = 15.
15 + 3/5 = 18/5.
18/5 + 4/5 = 22/5.
3(3/5) + (4/5) = 22/5.
c. 5\(\frac{4}{6}\) + \(\frac{5}{6}\)
Answer:
5(4/6) + (5/6) = 39/6.
Explanation:
In the above-given question,
given that,
Addition the fractions.
5(4/6) + (5/6).
5 x 6 = 30.
30 + 4/6 = 34/6.
34/6 + 5/6 = 39/6.
5(4/6) + (5/6) = 39/6.
d. \(\frac{7}{8}\) + 6\(\frac{4}{8}\)
Answer:
6(4/8) + (7/8) = 59/8.
Explanation:
In the above-given question,
given that,
Addition the fractions.
6(4/8) + (7/8).
6 x 8 = 48.
48 + 4/8 = 52/8.
52/8 + 7/8 = 59/8.
6(4/8) + (7/8) = 59/8.
e. \(\frac{7}{10}\) + 7\(\frac{9}{10}\)
Answer:
7(9/10) + (7/10) = 86/10.
Explanation:
In the above-given question,
given that,
Addition the fractions.
7(9/10) + (7/10).
7 x 10 = 70.
70 + 9/10 = 79/10.
79/10 + 7/10 = 86/10.
7(9/10) + (7/10) = 86/10.
f. 9\(\frac{7}{12}\) + \(\frac{11}{12}\)
Answer:
9(7/12) + (11/12) = 126/2.
Explanation:
In the above-given question,
given that,
Addition the fractions.
9(7/12) + (11/12).
9 x 12 = 108.
108 + 7/12 = 115/12.
115/12 + 11/12 = 126/12.
9(7/12) + (11/12) = 126/2.
g. 2\(\frac{70}{100}\) + \(\frac{87}{100}\)
Answer:
2(70/100) + (87/100) = 357/100.
Explanation:
In the above-given question,
given that,
Addition the fractions.
2(70/100) + (87/100).
100 x 2 = 200.
200 + 70/100 = 270/100.
270/100 + 87/100 = 357/100.
2(70/100) + (87/100) = 357/100.
h. \(\frac{50}{100}\) + 16\(\frac{78}{100}\)
Answer:
16(78/100) + (50/100) = 1728/100.
Explanation:
In the above-given question,
given that,
Addition the fractions.
16(78/100) + (50/100).
100 x 16 = 1600.
1600 + 78/100 = 1678/100.
1678/100 + 50/4 = 1728/100.
16(78/100) + (50/100) = 1728/100.
Question 5.
To solve 7\(\frac{9}{10}\) + \(\frac{5}{10}\), Maria thought, “7\(\frac{9}{10}\) + \(\frac{1}{10}\) = 8 and 8 + \(\frac{4}{10}\) = 8 \(\frac{4}{10}\) .” Paul thought, “7\(\frac{9}{10}\) + \(\frac{5}{10}\) = 7 \(\frac{14}{10}\) = 7 + \(\frac{10}{10}\) + \(\frac{4}{10}\) = 8\(\frac{4}{10}\)” Explain why Maria and Paul are both right.
Answer:
Yes, Maria and Paul are right.
Explanation:
In the above-given question,
given that,
Maria thought,
7\(\frac{9}{10}\) + \(\frac{1}{10}\) = 8.
8 + \(\frac{4}{10}\) = 8\(\frac{4}{10}\).
7(9/10) + 1/10.
70 + 9/10 + 1/10.
79 + 1/10 = 80/10 = 8.
8 + 4/10 = 84/10.
8 x 4/10 = 84/10.
Eureka Math Grade 4 Module 5 Lesson 30 Exit Ticket Answer Key
Solve.
Question 1.
3\(\frac{2}{5}\) + __3__ = 4
Answer:
3(2/5) + 3 = 4.
Explanation:
In the above-given question,
given that,
complete the number sentences.
3(2/5) + 3.
3 x 5 = 15.
15 + 2 = 17.
17 + 3 = 20.
20/5 = 4.
Question 2.
2\(\frac{3}{8}\) + \(\frac{7}{8}\)
Answer:
2(3/8) + 7/8 = 26/8.
Explanation:
In the above-given question,
given that,
complete the number sentences.
2(3/8) + 7/8.
2 x 8 = 16.
16 + 3/8 = 19/8.
19/8 + 7/8 = 26/8.
2(3/8) + 7/8 = 26/8.
Eureka Math Grade 4 Module 5 Lesson 30 Homework Answer Key
Question 1.
Solve.
a. 4\(\frac{1}{3}\) + \(\frac{1}{3}\)
Answer:
4(1/3) + 1/3 = 14/3.
Explanation:
In the above-given question,
given that,
complete the number sentences.
4(1/3) + 1/3.
4 x 3 = 12.
12 + 1/3 = 13/3.
13/3 + 1/3 = 14/3.
4(1/3) + 1/3 = 14/3.
b. 5\(\frac{1}{4}\) + \(\frac{2}{4}\)
Answer:
5(1/4) + 2/4 = 23/4.
Explanation:
In the above-given question,
given that,
complete the number sentences.
5(1/4) + 2/4.
5 x 4 = 20.
20 + 1/4 = 21/4.
21/4 + 2/4 = 23/4.
5(1/4) + 2/4 = 23/4.
c. \(\frac{2}{6}\) + 3\(\frac{4}{6}\)
Answer:
3(4/6) + 2/6 = 29/8.
Explanation:
In the above-given question,
given that,
complete the number sentences.
3(4/6) + 7/8.
3 x 6 = 18.
18 + 4/6 = 22/6.
22/6 + 7/8 = 29/8.
3(4/6) + 2/6 = 29/8.
d. \(\frac{5}{8}\) + 7\(\frac{3}{8}\)
Answer:
7(3/8) + 5/8 = 64/8.
Explanation:
In the above-given question,
given that,
complete the number sentences.
7(3/8) + 5/8.
7 x 8 = 56.
56 + 3/8 = 59/8.
59/8 + 5/8 = 64/8.
7(3/8) + 5/8 = 64/8.
Question 2.
Complete the number sentences.
a. 3\(\frac{5}{6}\) + __1___ = 4
Answer:
3(5/6) + 1 = 4.
Explanation:
In the above-given question,
given that,
complete the number sentences.
3(5/6) + 1.
3 x 6 = 18.
18 + 5/6 = 23/6.
1 + 23/6 = 24/6.
24/6 = 4.
b. 5\(\frac{3}{7}\) + ___4____ = 6
Answer:
5(3/7) + 4 = 6.
Explanation:
In the above-given question,
given that,
complete the number sentences.
5(3/7) + 4.
5 x 7 = 35.
35 + 3/7 = 38/7.
38/7 + 4 = 42/7.
42/7 = 6.
c. 5 = 4\(\frac{1}{8}\) + __7____
Answer:
4(1/8) + 7 = 5.
Explanation:
In the above-given question,
given that,
complete the number sentences.
4(1/8) + 7.
4 x 8 = 32.
32 + 1/8 = 33/8.
7 + 33/8 = 40/8.
40/8 = 5.
d. 15 = 14\(\frac{4}{12}\) + ___8___
Answer:
14(4/12) + 8 = 15.
Explanation:
In the above-given question,
given that,
complete the number sentences.
14(4/12) + 8.
14 x 12 = 168.
168 + 4/12 = 172/12.
8 + 172/12 = 180/12.
180/12 = 15.
Question 3.
Draw a number bond and the arrow way to show how to make one. Solve.
Answer:
5(1/4) + 2/4 = 23/4.
Explanation:
In the above-given question,
given that,
complete the number sentences.
5(1/4) + 2/4.
5 x 4 = 20.
20 + 1/4 = 21/4.
21/4 + 2/4 = 23/4.
5(1/4) + 2/4 = 23/4.
Question 4.
Solve.
a. 2\(\frac{3}{5}\) + \(\frac{3}{5}\)
Answer:
2(3/5) + 3/5 = 16/5.
Explanation:
In the above-given question,
given that,
complete the number sentences.
2(3/5) + 3/5.
2 x 5 = 10.
10 + 3/5 = 13/5.
13/5 + 3/5 = 16/5.
2(3/5) + 3/5 = 16/5.
b. 3\(\frac{6}{8}\) + \(\frac{4}{8}\)
Answer:
3(6/8) + 4/8 = 34/8.
Explanation:
In the above-given question,
given that,
complete the number sentences.
3(6/8) + 4/8.
3 x 8 = 24.
24 + 6/8 = 30/8.
30/8 + 4/8 = 34/8.
3(6/8) + 4/8 = 34/8.
c. 5\(\frac{4}{6}\) + \(\frac{3}{6}\)
Answer:
5(4/6) + 3/6 = 37/6.
Explanation:
In the above-given question,
given that,
complete the number sentences.
5(4/6) + 3/6.
5 x 6 = 30.
30 + 4/6 = 34/6.
34/6 + 3/6 = 37/6.
5(4/6) + 3/6 = 37/6.
d. \(\frac{7}{10}\) + 6\(\frac{6}{10}\)
Answer:
6(6/10) + 7/10 = 74/10.
Explanation:
In the above-given question,
given that,
complete the number sentences.
6(6/10) + 7/10.
6 x 10 = 60.
60 + 7/10 = 67/10.
67/10 + 7/10 = 74/10.
6(6/10) + 7/10 = 74/10.
e. \(\frac{5}{10}\) + 8\(\frac{9}{10}\)
Answer:
8(9/10) + 5/10 = 94/10.
Explanation:
In the above-given question,
given that,
complete the number sentences.
8(9/10) + 5/10.
8 x 10 = 80.
80 + 9/10 = 89/10.
89/10 + 5/10 = 94/10.
8(9/10) + 5/10 = 94/10.
f. 7\(\frac{8}{12}\) + \(\frac{11}{12}\)
Answer:
7(8/12) + 11/12 = 103/12.
Explanation:
In the above-given question,
given that,
complete the number sentences.
7(8/12) + 11/12.
7 x 12 = 84.
84 + 8/12 = 92/12.
92/12 + 11/12 = 103/12.
7(8/12) + 11/12 = 103/12.
g. 3\(\frac{90}{100}\) + \(\frac{58}{100}\)
Answer:
3(90/100) + 58/100 = 448/100.
Explanation:
In the above-given question,
given that,
complete the number sentences.
3(90/100) + 2/4.
3 x 100 = 300.
300 + 90/100 = 390/100.
390/100 + 58/100 = 448/100.
3(90/100) + 58/100 = 448/100.
h. \(\frac{60}{100}\) + 14\(\frac{79}{100}\)
Answer:
14(79/100) + 60/100 = 1539/100.
Explanation:
In the above-given question,
given that,
complete the number sentences.
14(79/100) + 60/100.
14 x 100 = 1400.
1400 + 60/100 = 1460/100.
1460/100 + 79/100 = 1539/100.
14(79/100) + 60/100 = 1539/100.
Question 5.
To solve 4\(\frac{8}{10}\) + \(\frac{3}{10}\), Carmen thought, “”4\(\frac{8}{10}\) + \(\frac{2}{10}\) = 5, and 5 + \(\frac{1}{10}\) = 5 \(\frac{1}{10}\).” Benny thought, “”4\(\frac{8}{10}\) + \(\frac{3}{10}\) = 4\(\frac{11}{10}\) = 4 + \(\frac{10}{10}\) + \(\frac{1}{10}\) = 5\(\frac{1}{10}\).” Explain why Carmen and Benny are both right.
Answer:
Carmen and Benny are right.
Explanation:
In the above-given question,
given that,
4(8/10) + 2/10 = 5.
4 x 10 = 40.
40 + 8/10 = 48/10.
48/10 + 2/10 = 50/10.
50/10 = 5.