Engage NY Eureka Math 4th Grade Module 5 Lesson 31 Answer Key

Eureka Math Grade 4 Module 5 Lesson 31 Sprint Answer Key

A
Change Fractions to Mixed Numbers
Engage NY Math 4th Grade Module 5 Lesson 31 Sprint Answer Key 1

Answer:
3 + 1 = 4, 3/3 + 1/3 = 4/3, 1 + 1/3 = 4/3, 1(1/3) = 4/3, 5 + 1 = 6, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 2 + 1 = 3, 2/2 + 1/2 = 3/2, 1 + 1/2 = 3/2, 1(1/2) = 3/2, 4/4 + 1/4 = 5/4, 1(3/8) = 11/8, 2 + 1/3 = 2(1/3), 6/3 + 1/3 = 7/3, 2 + 1/3 = 7/3, 2(1/3) = 7/3, 2 + 1/5 = 11/5, 10/5 + 1/5 = 11/5, 2 + 1/5 = 11/5, 1(1/5) = 11/5, 8/4 + 3/4 = 11/4, 2 + 3/4 = 11/4, 2(3/4) = 11/4, 12/3 + 2/3 = 13/3, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 1(3/4) = 7/4, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 1(3/5) = 8/5, 8/8 + 3/8 = 11/8, 1 + 3/8 = 11/8, 4 + 2/3 = 14/3, 4(2/3) = 14/3, 3 + 3/5 = 18/5, 3 + 1/2 = 7/2, 4 + 3/4 = 19/4, 2 + 1/6 = 13/6, 2 + 5/8 = 21/8, 2(4/5) = 14/5, 3(7/8) = 31/8.

Explanation:
In the above-given question,
given that,
change fractions to mixednumbers.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-1

Question 1.
3 + 1 = 4.

Answer:
4 = 3 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4 = 3 + 1.
3 + 1 = 4.

Question 2.
\(\frac{3}{3}\) + \(\frac{1}{3}\) = \(\frac{2}{3}\)

Answer:
3/3 = 1/3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/3 = 1/3 + 2/3.
2 + 1 = 3.
1/3 + 2/3 = 3/3.

Question 3.
1 + \(\frac{1}{3}\) = \(\frac{4}{3}\)

Answer:
4/3 = 1/3 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1 + 1/3.
3 + 1 = 4.
1 + 1/3 = 4/3.

Question 4.
1\(\frac{1}{3}\) = \(\frac{4}{3}\)

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 5.
5 + 1 = 6.

Answer:
6 = 5 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6 = 5 + 1.
5 + 1 = 6.

Question 6.
\(\frac{5}{5}\) + \(\frac{1}{5}\) = \(\frac{6}{5}\)

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.
1/5 + 5/5 = 6/5.

Question 7.
1 + \(\frac{1}{5}\) = \(\frac{6}{5}\)

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 8.
1\(\frac{1}{5}\) = \(\frac{6}{5}\)

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 9.
2 + 1 = 3.

Answer:
3 = 2 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3 = 2 + 1.
2 + 1 = 3.

Question 10.
\(\frac{2}{2}\) + \(\frac{1}{2}\) = \(\frac{3}{2}\)

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 11.
1 + \(\frac{1}{2}\) = \(\frac{3}{2}\)

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.
1/2 + 1 = 3/2.

Question 12.
1\(\frac{1}{2}\) = \(\frac{3}{2}\)

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.
1/2 + 1 = 3/2.

Question 13.
\(\frac{4}{4}\) + \(\frac{1}{4}\) = \(\frac{5}{4}\)

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 14.
1 + \(\frac{1}{4}\) = \(\frac{5}{4}\)

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 15.
1\(\frac{1}{4}\) = \(\frac{5}{4}\)

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 16.
1\(\frac{3}{4}\) = \(\frac{7}{4}\)

Answer:
7/4 = 1 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/4 = 1 + 3/4.
6 + 1 = 7.
3/4 + 1 = 7/4.

Question 17.
\(\frac{5}{5}\) + \(\frac{1}{5}\) = \(\frac{6}{5}\)

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 18.
1 + \(\frac{1}{5}\) = \(\frac{6}{5}\)

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 19.
1\(\frac{1}{5}\) = \(\frac{6}{5}\)

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 20.
1\(\frac{3}{5}\) = \(\frac{8}{5}\)

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 21.
\(\frac{8}{8}\) + \(\frac{3}{8}\) = \(\frac{11}{8}\)

Answer:
11/8 = 8/8 + 3/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/8 = 8/8 + 3/8.
10 + 1 = 11.
8/8 + 3/8 = 11/8.

Question 22.
1 + \(\frac{3}{8}\) = \(\frac{11}{8}\)

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 23.
1\(\frac{3}{8}\) = \(\frac{11}{8}\)

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 24.
2 + \(\frac{1}{3}\) = 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.
6 + 1 = 7.
1/3 + 2 = 7/3.

Question 25.
\(\frac{6}{3}\) + \(\frac{1}{3}\) = \(\frac{7}{3}\)

Answer:
7/3 = 1/3 + 6/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 1/3 + 6/3.
6 + 1 = 7.
6/3 + 1/3 = 7/3.

Question 26.
2 + \(\frac{1}{3}\) = \(\frac{7}{3}\)

Answer:
7/3 = 1/3 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 1/3 + 2.
6 + 1 = 7.
2 + 1/3 = 7/3.

Question 27.
2\(\frac{1}{3}\) = \(\frac{7}{3}\)

Answer:
7/3 = 1/3 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/3 = 1/3 + 2.
6 + 1 = 7.
2 + 1/3 = 7/3.

Question 28.
2 + \(\frac{1}{5}\) = \(\frac{11}{5}\)

Answer:
11/5 = 1/5 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 1/5 + 2.
10 + 1 = 11.
2 + 1/5 = 11/5.

Question 29.
\(\frac{10}{5}\) + \(\frac{1}{5}\) = \(\frac{11}{5}\)

Answer:
11/5 = 1/5 + 10/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 1/5 + 10/5.
10 + 1 = 11.
1/5 + 10/5 = 11/5.

Question 30.
2 + \(\frac{1}{5}\) = \(\frac{11}{5}\)

Answer:
11/5 = 1/5 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 1/5 + 2.
10 + 1 = 11.
2 + 1/5 = 11/5.

Question 31.
2\(\frac{1}{5}\) = \(\frac{11}{5}\)

Answer:
11/5 = 1/5 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/5 = 1/5 + 2.
10 + 1 = 11.
2 + 1/5 = 11/5.

Question 32.
\(\frac{8}{4}\) + \(\frac{3}{4}\) = \(\frac{11}{4}\)

Answer:
11/4 = 8/4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 8/4 + 3/4.
10 + 1 = 11.
8/4 + 3/4 = 11/4.

Question 33.
2 + \(\frac{3}{4}\) = \(\frac{11}{4}\)

Answer:
11/4 = 3/4 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 3/4 + 2.
10 + 1 = 11.
2 + 3/4 = 11/4.

Question 34.
2\(\frac{3}{4}\) = \(\frac{11}{4}\)

Answer:
11/4 = 3/4 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/4 = 3/4 + 2.
10 + 1 = 11.
2 + 3/4 = 11/4.

Question 35.
\(\frac{12}{3}\) + \(\frac{2}{3}\) = \(\frac{14}{3}\)

Answer:
14/3 = 12/3 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/3 = 12/3 + 2/3.
10 + 4 = 14.
12/3 + 2/3 = 14/3.

Question 36.
4 + \(\frac{2}{3}\) = \(\frac{14}{3}\)

Answer:
14/3 = 2/3 + 4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/3 = 2/3 + 4.
10 + 4 = 14.
4 + 2/3 = 14/3.

Question 37.
4\(\frac{2}{3}\) = \(\frac{14}{3}\)

Answer:
14/3 = 2/3 + 4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/3 = 2/3 + 4.
10 + 4 = 14.
4 + 2/3 = 14/3.

Question 38.
3 + \(\frac{3}{5}\) = \(\frac{18}{5}\)

Answer:
18/5 = 3/5 + 3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
18/5 = 3/5 + 3.
10 + 8 = 18.
3 + 3/5 = 18/5.

Question 39.
3 + \(\frac{1}{2}\) = \(\frac{7}{2}\)

Answer:
7/2 = 1/2 + 3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
7/2 = 1/2 + 3.
6 + 1 = 7.
3 + 1/2 = 7/2.

Question 40.
4 + \(\frac{3}{4}\) = \(\frac{19}{4}\)

Answer:
19/4 = 3/4 + 4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/4 = 3/4 + 4.
10 + 9 = 19.
4 + 3/4 = 19/4.

Question 41.
2 + \(\frac{1}{6}\) = \(\frac{13}{6}\)

Answer:
13/6 = 1/6 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/6 = 1/6 + 2.
10 + 3 = 13.
2 + 1/6 = 13/6.

Question 42.
2 + \(\frac{5}{8}\) = \(\frac{21}{8}\)

Answer:
21/8 = 5/8 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
21/8 = 5/8 + 2.
20 + 1 = 21.
2 + 5/8 = 21/8.

Question 43.
2\(\frac{4}{5}\) = \(\frac{14}{5}\)

Answer:
14/5 = 4/5 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/5 = 4/5 + 2.
10 + 4 = 14.
2 + 4/5 = 14/5.

Question 44.
3\(\frac{7}{8}\) = \(\frac{31}{8}\)

Answer:
31/8 = 7/8 + 3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
31/8 = 7/8 + 3.
30 + 1 = 31.
3 + 7/8 = 31/8.

B
Change Fractions to Mixed Numbers
Engage NY Math 4th Grade Module 5 Lesson 31 Sprint Answer Key 2

Answer:
4 + 1 = 5, 4/4 + 1/4 = 5/4, 1 + 1/4 = 5/4, 1(1/4) = 5/4, 2 + 1 = 3, 2/2 + 1/2 = 3/2, 1 + 1/2 = 3/2, 1(1/2) = 3/2, 5 + 1 = 6, 5/5 + 1/5 = 6/5, 1 + 1/5 = 6/5, 1(1/5) = 6/5, 3/3 + 1/3 = 4/3, 1 + 1/3 = 4/3, 1(1/3) = 4/3, 1(2/3) = 5/3, 10/10 + 1/10 =11/10, 1 + 1/10 = 11/10, 1(1/10) = 11/10, 1(7/10) = 17/10, 8/8 + 5/8 = 13/8, 1 + 5/8 = 13/8, 1(5/8) = 13/8, 2 + 1/2 = 2(1/2), 4/2 + 1/2 = 5/2, 2 + 1/2 = 5/2, 2(1/2) = 5/2, 2 + 1/4 = 9/4, 2(1/4) = 9/4, 6/3 + 2/3 = 8/3, 2 + 2/3 = 8/3, 2(2/3) = 8/3, 12/4 + 3/4 = 15/4, 3 + 3/4 = 15/4, 3(3/4) = 15/4, 3 + 4/5 = 19/5, 4 + 1/2 = 9/2, 4 + 2/3 = 14/3, 3 + 1/6 = 19/6, 2 + 7/8 = 24/8, 2(3/5) = 13/5, 2(7/8) = 23/8.

Explanation:
In the above-given question,
given that,
change fractions to mixed numbers.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-2

Question 1.
4 + 1 = 5.

Answer:
5 = 4 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5 = 4 + 1.
4 + 1 = 5.

Question 2.
\(\frac{4}{4}\) + \(\frac{1}{4}\) = \(\frac5}{4}\)

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.
1 + 4 = 5.
1/4 + 4/4 = 5/4.

Question 3.
1 + \(\frac{1}{4}\) = \(\frac{5}{4}\)

Answer:
5/4 = 1/4 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1/4 + 1.
1 + 4 = 5.
1 + 1/4 = 5/4.

Question 4.
1\(\frac{1}{4}\) = \(\frac{5}{4}\)

Answer:
5/4 = 1/4 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/4 = 1/4 + 1.
1 + 4 = 5.
1 + 1/4 = 5/4.

Question 5.
2 + 1 = 3.

Answer:
3 = 2 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3 = 2 + 1.
2 + 1 = 3.

Question 6.
\(\frac{2}{2}\) + \(\frac{1}{2}\) = \(\frac{3}{2}\)

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.
1/2 + 2/2 = 3/2.

Question 7.
1 + \(\frac{1}{2}\) = \(\frac{3}{2}\)

Answer:
3/2 = 1/2 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 1/2 + 1.
2 + 1 = 3.
1 + 1/2 = 3/2.

Question 8.
1\(\frac{1}{2}\) = \(\frac{3}{2}\)

Answer:
3/2 = 1/2 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
3/2 = 1/2 + 1.
2 + 1 = 3.
1 + 1/2 = 3/2.

Question 9.
5 + 1 = 6.

Answer:
6 = 5 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6 = 5 + 1.
5 + 1 = 6.

Question 10.
\(\frac{5}{5}\) + \(\frac{1}{5}\) = \(\frac{6}{5}\)

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.
1/5 + 5/5 = 6/5.

Question 11.
1 + \(\frac{1}{5}\) = \(\frac{6}{5}\)

Answer:
6/5 = 1/5 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1/5 + 1.
5 + 1 = 6.
1 + 1/5 = 6/5.

Question 12.
1\(\frac{1}{5}\) = \(\frac{6}{5}\)

Answer:
6/5 = 1/5 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
6/5 = 1/5 + 1.
5 + 1 = 6.
1 + 1/5 = 6/5.

Question 13.
\(\frac{3}{3}\) + \(\frac{1}{3}\) = \(\frac{4}{3}\)

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 14.
1 + \(\frac{1}{3}\) = \(\frac{4}{3}\)

Answer:
4/3 = 1/3 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1/3 + 1.
3 + 1 = 4.
1 + 1/3 = 4/3.

Question 15.
1\(\frac{1}{3}\) = \(\frac{4}{3}\)

Answer:
4/3 = 1/3 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
4/3 = 1/3 + 1.
3 + 1 = 4.
1 + 1/3 = 4/3.

Question 16.
1\(\frac{2}{3}\) = \(\frac{5}{3}\)

Answer:
5/3 = 2/3 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/3 = 2/3 + 1.
4 + 1 = 5.
1 + 2/3 = 5/3.

Question 17.
\(\frac{10}{10}\) + \(\frac{1}{10}\) = \(\frac{11}{10}\)

Answer:
11/10 = 10/10 + 1/10.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/10 = 10/10 + 1/10.
10 + 1 = 11.
1/10 + 10/10 = 11/10.

Question 18.
1 + \(\frac{1}{10}\) = \(\frac{11}{10}\)

Answer:
11/10 = 1/10 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/10 = 1/10 + 1.
10 + 1 = 11.
1 + 1/10 = 11/10.

Question 19.
1\(\frac{1}{10}\) = \(\frac{11}{10}\)

Answer:
11/10 = 1/10 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
11/10 = 1/10 + 1.
10 + 1 = 11.
1 + 1/10 = 11/10.

Question 20.
1\(\frac{7}{10}\) = \(\frac{17}{10}\)

Answer:
17/10 = 7/10 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
17/10 = 7/10 + 1.
10 + 7 = 17.
1 + 7/10 = 17/10.

Question 21.
\(\frac{8}{8}\) + \(\frac{5}{8}\) = \(\frac{13}{8}\)

Answer:
13/8 = 8/8 + 5/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/8 = 8/8 + 5/8.
10 + 3 = 13.
5/8 + 8/8 = 13/8.

Question 22.
1 + \(\frac{5}{8}\) = \(\frac{13}{8}\)

Answer:
13/8 = 5/8 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/8 = 5/8 + 1.
10 + 3 = 13.
1 + 5/8 = 13/8.

Question 23.
1\(\frac{5}{8}\) = \(\frac{13}{8}\)

Answer:
13/8 = 5/8 + 1.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/8 = 5/8 + 1.
10 + 3 = 13.
1 + 5/8 = 13/8.

Question 24.
2 + \(\frac{1}{2}\) = 2\(\frac{1}{2}\)

Answer:
5/2 = 1/2 + 2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
5/2 = 1/2 + 2.
4 + 1 = 5.
2 + 1/2 = 5/2.

Question 25.
\(\frac{4}{2}\) + \(\frac{1}{2}\) = \(\frac{5}{2}\)

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.
4/2 + 1/2 = 5/2.

Question 26.
2 + \(\frac{1}{2}\) = \(\frac{5}{2}\)

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.
2 + 1/2 = 5/2.

Question 27.
2\(\frac{1}{2}\) = \(\frac{5}{2}\)

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.
2 + 1/2 = 5/2.

Question 28.
2 + \(\frac{1}{4}\) = \(\frac{9}{4}\)

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 29.
\(\frac{8}{4}\) + \(\frac{1}{4}\) = \(\frac{9}{4}\)

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.
8 + 1 = 9.
8/4 + 1/4 = 9/4.

Question 30.
2 + \(\frac{1}{4}\) = \(\frac{9}{4}\)

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 31.
2\(\frac{1}{4}\) = \(\frac{9}{4}\)

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 32.
\(\frac{6}{3}\) + \(\frac{2}{3}\) = \(\frac{8}{3}\)

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.
7 + 1 = 8.
6/3 + 2/3 = 8/3.

Question 33.
2 + \(\frac{2}{3}\) = \(\frac{8}{3}\)

Answer:
8/3 = 2 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 + 2/3.
7 + 1 = 8.
2 + 2/3 = 8/3.

Question 34.
2\(\frac{2}{3}\) = \(\frac{8}{3}\)

Answer:
8/3 = 2 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
8/3 = 2 + 2/3.
7 + 1 = 8.
2 + 2/3 = 8/3.

Question 35.
\(\frac{12}{4}\) + \(\frac{3}{4}\) = \(\frac{15}{4}\)

Answer:
15/4 = 12/4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
15/4 = 12/4 + 3/4.
12 + 3 = 15.
3/4 + 12/4 = 15/4.

Question 36.
4 + [\(\frac{3}{4}\) = \(\frac{19}{4}\)

Answer:
19/4 = 4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/4 = 4 + 3/4.
18 + 1 = 9.
4 + 3/4 = 19/4.

Question 37.
4\(\frac{3}{4}\) = \(\frac{19}{4}\)

Answer:
19/4 = 4 + 3/4.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/4 = 4 + 3/4.
18 + 1 = 9.
4 + 3/4 = 19/4.

Question 38.
3 + \(\frac{4}{5}\) = \(\frac{19}{5}\)

Answer:
19/5 = 3 + 4/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/5 = 3 + 4/5.
18 + 1 = 19.
4/5 + 3 = 19/5.

Question 39.
4 + \(\frac{1}{2}\) = \(\frac{9}{2}\)

Answer:
9/2 = 4 + 1/2.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
9/2 = 4 + 1/2.
8 + 1 = 9.
4 + 1/2 = 9/2.

Question 40.
4 + \(\frac{2}{3}\) = \(\frac{14}{3}\)

Answer:
14/3 = 4 + 2/3.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
14/3 = 4 + 2/3.
12 + 2 = 14.
4 + 2/3 = 14/3.

Question 41.
3 + \(\frac{1}{6}\) = \(\frac{19}{6}\)

Answer:
19/6 = 3 + 1/6.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
19/6 = 3 + 1/6.
18 + 1 = 19.
3 + 1/6 = 19/6.

Question 42.
2 + \(\frac{7}{8}\) = \(\frac{24}{8}\)

Answer:
24/8 = 2 + 7/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
24/8 = 2 + 7/8.
20 + 4 = 29.
7/8 + 2 = 24/8.

Question 43.
2\(\frac{3}{5}\) = \(\frac{13}{5}\)

Answer:
13/5 = 2 + 3/5.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
13/5 = 2 + 3/5.
12 + 1 = 13.
2 + 3/5 = 13/5.

Question 44.
2\(\frac{7}{8}\) = \(\frac{24}{8}\)

Answer:
24/8 = 2 + 7/8.

Explanation:
In the above-given question,
given that,
change mixed numbers to fractions.
24/8 = 2 + 7/8.
20 + 4 = 24.
2 + 7/8 = 24/8.

Eureka Math Grade 4 Module 5 Lesson 31 Problem Set Answer Key

Question 1.
Solve.
Engage NY Math Grade 4 Module 5 Lesson 31 Problem Set Answer Key 1

Answer:
3(1/3) + 2(2/3) = 18/3.

Explanation:
In the above-given question,
given that,
3(1/3) + 2 (2/3).
3 + 2 = 5.
1/3 + 2/3 = 3/3.
5(3/3) = 18/3.
3(1/3) + 2(2/3) = 18/3.

b. 4\(\frac{1}{4}\) + 3\(\frac{2}{4}\)

Answer:
4(1/4) + 3(2/4) = 31/4.

Explanation:
In the above-given question,
given that,
4(1/4) + 3 (2/4).
4 + 3 = 7.
1/4 + 2/4 = 3/4.
7(3/4) = 31/4.
4(1/4) + 3(2/4) = 31/4.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-3

c. 2\(\frac{2}{6}\) + 6\(\frac{4}{6}\)

Answer:
2(2/6) + 6(4/6) = 54/6.

Explanation:
In the above-given question,
given that,
2(2/6) + 6 (4/6).
2 + 6 = 8.
2/6 + 4/6 = 6/6.
8(6/6) = 54/6.
2(2/6) + 6(4/6) = 54/6.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-4

Question 2.
Solve. Use a number line to show your work.
Engage NY Math Grade 4 Module 5 Lesson 31 Problem Set Answer Key 2

Answer:
2(4/5) + 1(2/5) = 21/5.

Explanation:
In the above-given question,
given that,
2(4/5) + 1 (2/5).
1 + 2 = 3.
4/5 + 2/5 = 6/5.
3(6/5) = 21/5.
2(4/5) + 1(2/5) = 21/5.

b. 1\(\frac{3}{4}\) + 3\(\frac{3}{4}\)

Answer:
1(3/4) + 3(3/4) = 22/4.

Explanation:
In the above-given question,
given that,
1(3/4) + 3 (3/4).
3 + 1 = 4.
3/4 + 3/4 = 6/4.
4(6/4) = 22/4.
1(3/4) + 3(3/4) = 22/4.

c. 3\(\frac{3}{8}\) + 2\(\frac{6}{8}\)

Answer:
3(3/8) + 2(6/8) = 49/8.

Explanation:
In the above-given question,
given that,
3(3/8) + 2 (6/8).
3 + 2 = 5.
3/8 + 6/8 = 9/8.
5(9/8) = 49/8.
3(3/8) + 2(6/8) = 49/8.

Question 3.
Solve. Use the arrow way to show how to make one.
Engage NY Math Grade 4 Module 5 Lesson 31 Problem Set Answer Key 3
b. 1\(\frac{3}{4}\) + 3\(\frac{3}{4}\)

Answer:
1(3/4) + 3(3/4) = 22/4.

Explanation:
In the above-given question,
given that,
1(3/4) + 3 (3/4).
3 + 1 = 4.
3/4 + 3/4 = 6/4.
4(6/4) = 22/4.
1(3/4) + 3(3/4) = 22/4.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-5

c. 3\(\frac{3}{8}\) + 2\(\frac{6}{8}\)

Answer:
3(3/8) + 2(6/8) = 49/8.

Explanation:
In the above-given question,
given that,
3(3/8) + 2 (6/8).
3 + 2 = 5.
3/8 + 6/8 = 9/8.
5(9/8) = 49/8.
3(3/8) + 2(6/8) = 49/8.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-6

Question 4.
Solve. Use whichever method you prefer.
a. 1\(\frac{3}{5}\) + 3\(\frac{4}{5}\)

Answer:
1(3/5) + 3(4/5) = 27/5.

Explanation:
In the above-given question,
given that,
1(3/5) + 3 (4/5).
3 + 1 = 4.
3/5 + 4/5 = 7/5.
4(7/5) = 27/5.
1(3/5) + 3(4/5) = 27/5.

b. 2\(\frac{6}{8}\) + 3\(\frac{7}{8}\)

Answer:
2(6/8) + 3(7/8) = 53/8.

Explanation:
In the above-given question,
given that,
2(6/8) + 3 (7/8).
3 + 2 = 5.
6/8 + 7/8 = 13/8.
5(13/8) = 53/8.
2(6/8) + 3(7/8) = 53/8.

c. 3\(\frac{8}{12}\) + 2\(\frac{7}{12}\)

Answer:
3(8/12) + 2(7/12) = 75/12.

Explanation:
In the above-given question,
given that,
3(8/12) + 2 (7/12).
3 + 2 = 5.
8/12 + 7/12 = 15/12.
5(15/12) = 75/12.
3(8/12) + 2(7/12) = 75/12.

Eureka Math Grade 4 Module 5 Lesson 31 Exit Ticket Answer Key

Solve.
Question 1.
2\(\frac{3}{8}\) + 1\(\frac{5}{8}\)

Answer:
2(3/8) + 1(5/8) = 32/8.

Explanation:
In the above-given question,
given that,
2(3/8) + 1 (5/8).
1 + 2 = 3.
3/8 + 5/8 = 8/8.
3(8/8) = 32/8.
2(3/8) + 1(5/8) = 32/8.

Question 2.
3\(\frac{4}{5}\) + 2\(\frac{3}{5}\)

Answer:
3(4/5) + 2(3/5) = 32/5.

Explanation:
In the above-given question,
given that,
3(4/5) + 2 (3/5).
3 + 2 = 5.
4/5 + 3/5 = 7/5.
5(7/5) = 32/5.
3(4/5) + 2(3/5) = 32/5.

Eureka Math Grade 4 Module 5 Lesson 31 Homework Answer Key

Question 1.
Solve.
Eureka Math Grade 4 Module 5 Lesson 31 Homework Answer Key 1
b. 2\(\frac{2}{5}\) + 2\(\frac{2}{5}\)

Answer:
2(2/5) + 2(2/5) = 24/5.

Explanation:
In the above-given question,
given that,
2(2/5) + 2 (2/5).
2 + 2 = 4.
2/5 + 2/5 = 4/5.
4(4/5) = 24/5.
2(2/5) + 2(2/5) = 24/5.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-7

c. 3\(\frac{3}{8}\) + 1\(\frac{5}{8}\)

Answer:
3(3/8) + 1(5/8) = 40/8.

Explanation:
In the above-given question,
given that,
3(3/8) + 1 (5/8).
3 + 1 = 4.
3/8 + 5/8 = 8/8.
4(8/8) = 40/8.
3(3/8) + 1(5/8) = 40/8.
Eureka-Math-Grade-4-Module-5-Lesson-31-Answer Key-8

Question 2.
Solve. Use a number line to show your work.
Eureka Math Grade 4 Module 5 Lesson 31 Homework Answer Key 2
b. 3\(\frac{4}{6}\) + 2\(\frac{5}{6}\)

Answer:
3(4/6) + 2(5/6) = 39/6.

Explanation:
In the above-given question,
given that,
3(4/6) + 2 (5/6).
3 + 2 = 5.
4/6 + 5/6 = 9/6.
5(9/6) = 39/6.
3(4/6) + 2(5/6) = 39/6.

c. 1\(\frac{9}{12}\) + 1\(\frac{7}{12}\)

Answer:
1(9/12) + 1(7/12) = 40/12.

Explanation:
In the above-given question,
given that,
1(9/12) + 1 (7/12).
1 + 1 = 2.
9/12 + 7/12 = 16/12.
2(16/12) = 40/12.
1(9/12) + 1(7/12) = 40/12.

Question 3.
Solve. Use the arrow way to show how to make one.
Eureka Math Grade 4 Module 5 Lesson 31 Homework Answer Key 3
b. 2\(\frac{7}{8}\) + 3\(\frac{4}{8}\)

Answer:
2(7/8) + 3(4/8) = 51/8.

Explanation:
In the above-given question,
given that,
2(7/8) + 3 (4/8).
3 + 2 = 5.
7/8 + 4/8 = 11/8.
5(11/8) = 51/8.
2(7/8) + 3(4/8) = 51/8.

c. 1\(\frac{7}{9}\) + 4\(\frac{5}{9}\)

Answer:
1(7/9) + 4(5/9) = 57/9.

Explanation:
In the above-given question,
given that,
1(7/9) + 4 (5/9).
4 + 1 = 5.
7/9 + 5/9 = 12/9.
5(12/9) = 57/9.
1(7/9) + 4(5/9) = 57/9.

Question 4.
Solve. Use whichever method you prefer.
a. 1\(\frac{4}{5}\) + 1\(\frac{3}{5}\)

Answer:
1(4/5) + 1(3/5) = 17/5.

Explanation:
In the above-given question,
given that,
1(4/5) + 1 (3/5).
1 + 1 = 2.
4/5 + 3/5 = 7/5.
2(7/5) = 17/5.
1(4/5) + 1(3/5) = 17/5.

b. 3\(\frac{8}{10}\) + 1\(\frac{5}{10}\)

Answer:
3(8/10) + 1(5/10) = 53/10.

Explanation:
In the above-given question,
given that,
3(8/10) + 1 (5/10).
3 + 1 = 4.
8/10 + 5/10 = 13/10.
4(13/10) = 53/10.
3(8/10) + 1(5/10) = 53/10.

c. 2\(\frac{5}{7}\) + 3\(\frac{6}{7}\)

Answer:
2(5/7) + 3(6/7) = 46/7.

Explanation:
In the above-given question,
given that,
2(5/7) + 3 (6/7).
3 + 2 = 5.
5/7 + 6/7 = 11/7.
5(11/7) = 46/7.
2(5/7) + 3(6/7) = 46/7.

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