Engage NY Eureka Math 4th Grade Module 5 Lesson 36 Answer Key
Eureka Math Grade 4 Module 5 Lesson 36 Problem Set Answer Key
Question 1.
Draw a tape diagram to represent \(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\)
Write a multiplication expression equal to \(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\)
Answer:
4 x 3/4.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\).
3/4 + 3/4 + 3/4 + 3/4.
4 x 3/4.
4 x 4 = 16.
16 + 3 = 19.
19/4 = 4(3/4).
Question 2.
Draw a tape diagram to represent \(\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\)
Write a multiplication expression equal to \(\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\)
Answer:
3 x 7/12.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\).
7/12 + 7/12 + 7/12.
3 x 7/12.
12 x 3 = 36.
36 + 7 = 43.
43/12 = 3(7/12).
Question 3.
Rewrite each repeated addition problem as a multiplication problem and solve. Express the result as a mixed number. The first one has been started for you.
a. \(\frac{7}{5}+\frac{7}{5}+\frac{7}{5}+\frac{7}{5}\) = 4 × \(\frac{7}{5}\) = \(\frac{4 \times 7}{5}\) =
Answer:
4 x 7/5.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\).
7/5 + 7/5 + 7/5 + 7/5.
4 x 7/5.
5 x 4 = 20.
20 + 7 = 27.
27/5 = 4(7/5).
b. \(\frac{9}{10}+\frac{9}{10}+\frac{9}{10}\)
Answer:
3 x 9/10.
Explanation:
In the above-given question,
given that,
\(\frac{9}{10}+\frac{9}{10}+\frac{9}{10}\).
9/10 + 9/10 + 9/10.
3 x 9/10.
10 x 3 = 30.
30 + 9 = 39.
39/10 = 3(9/10).
c. \(\frac{11}{12}+\frac{11}{12}+\frac{11}{12}+\frac{11}{12}+\frac{11}{12}\)
Answer:
5 x 11/12.
Explanation:
In the above-given question,
given that,
\(\frac{11}{12}+\frac{11}{12}+\frac{11}{12}+\frac{11}{12}\) +\frac{11}{12}[/latex].
11/12 + 11/12 + 11/12 + 11/12 +11/12.
5 x 11/12.
12 x 5 = 60.
60 + 11 = 71.
71/12 = 5(11/12).
Question 4.
Solve using any method. Express your answers as whole or mixed numbers.
a. 8 × \(\frac{2}{3}\)
Answer:
8 x 2/3.
Explanation:
In the above-given question,
given that,
\(\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+ \frac{2}{3} +\frac{2}{3} +\frac{2}{3} +\frac{2}{3} +\frac{2}{3}\).
2/3 + 2/3 + 2/3 + 2/3 + 2/3 + 2/3 + 2/3 +2/3.
8 x 2/3.
8 x 3 = 24.
24 + 2 = 26.
26/3 = 8(2/3).
b. 12 × \(\frac{3}{4}\)
Answer:
12 x 3/4.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\).
3/4 + 3/4 + 3/4 + 3/4.
12 x 3/4.
12 x 4 = 48.
48 + 3 = 51.
51/4 = 12(3/4).
c. 50 × \(\frac{4}{5}\)
Answer:
50 x 4/5.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\).
4/5 + 4/5 + 4/5 + 4/5.
50 x 4/5.
50 x 5 = 250.
250 + 4 = 254.
254/5 = 50(4/5).
d. 26 × \(\frac{7}{8}\)
Answer:
26 x 7/8.
Explanation:
In the above-given question,
given that,
\(\frac{7}{8}+\frac{7}{8}+\frac{7}{8}+\frac{7}{8}\).
7/8 + 7/8 + 7/8 + 7/8.
26 x 7/8.
26 x 8 = 208.
208 + 7 = 215.
215/8 = 26(7/8).
Question 5.
Morgan poured \(\frac{9}{10}\) liter of punch into each of 6 bottles. How many liters of punch did she pour in all?
Answer:
The number of liters of punch did she pour in all = 5.4 liters.
Explanation:
In the above-given question,
given that,
Morgan poured 9/10 liter of punch into each of 6 bottles.
9/10 = 0.9.
0.9 x 6 = 5.4.
Question 6.
A recipe calls for \(\frac{3}{4}\) cup rice. How many cups of rice are needed to make the recipe 14 times?
Answer:
The number of cups of rice are needed to make the recipe 14 times = 10.5 cups.
Explanation:
In the above-given question,
given that,
A recipe calls for 3/4 cup rice.
3/4 = 0.75.
0.75 x 14 = 10.5.
Question 7.
A butcher prepared 120 sausages using \(\frac{3}{8}\) pound of meat for each. How many pounds did he use in all?
Answer:
The number of pounds did he use in all =
Explanation:
In the above-given question,
given that,
A butcher prepared 120 sausages using 3/8 pound of meat for each.
3/8 = 0.375.
0.375 x 120.
45.
Eureka Math Grade 4 Module 5 Lesson 36 Exit Ticket Answer Key
Solve using any method.
Question 1.
7 × \(\frac{3}{4}\)
Answer:
7 x 3/4.
Explanation:
In the above-given question,
given that,
\(\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}\).
3/4 + 3/4 + 3/4 + 3/4.
7 x 3/4.
7 x 4 = 28.
28 + 3 = 31.
31/4 = 7(3/4).
Question 2.
9 × \(\frac{2}{5}\)
Answer:
9 x 2/5.
Explanation:
In the above-given question,
given that,
\(\frac{2}{5}+\frac{2}{5}+\frac{2}{5}+\frac{2}{5}\).
2/5 + 2/5 + 2/5 + 2/5.
9 x 2/5.
9 x 5 = 45.
45 + 2 = 47.
47/5 = 9(2/5).
Question 3.
60 × \(\frac{5}{8}\)
Answer:
60 x 5/8.
Explanation:
In the above-given question,
given that,
\(\frac{5}{8}+\frac{5}{8}+\frac{5}{8}+\frac{5}{8}\).
5/8 + 5/8 + 5/8 + 5/8.
60 x 5/8.
60 x 8 = 480.
480 + 5 = 485.
485/8 = 60(5/8).
Eureka Math Grade 4 Module 5 Lesson 36 Homework Answer Key
Question 1.
Draw a tape diagram to represent \(\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}\)
Write a multiplication expression equal to \(\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}\)
Answer:
4 x 2/3.
Explanation:
In the above-given question,
given that,
\(\frac{2}{3}+\frac{2}{3}+\frac{2}{3}+\frac{2}{3}\).
2/3 + 2/3 + 2/3 + 2/3.
4 x 2/3.
4 x 3 = 12.
12 + 2 = 14.
14/3 = 4(2/3).
Question 2.
Draw a tape diagram to represent \(\frac{7}{8}+\frac{7}{8}+\frac{7}{8}\)
Write a multiplication expression equal to \(\frac{7}{8}+\frac{7}{8}+\frac{7}{8}\)
Answer:
3 x 7/8.
Explanation:
In the above-given question,
given that,
\(\frac{7}{8}+\frac{7}{8}+\frac{7}{8}\).
7/8 + 7/8 + 7/8.
3 x 7/8.
8 x 3 = 24.
24 + 7 = 31.
31/8 = 3(7/8).
Question 3.
Rewrite each repeated addition problem as a multiplication problem and solve. Express the result as a mixed number. The first one has been completed for you.
a. \(\frac{7}{5}+\frac{7}{5}+\frac{7}{5}+\frac{7}{5}\) = 4 × \(\frac{7}{5}\) = \(\frac{4 \times 7}{5}=\frac{28}{5}\) = 5\(\frac{3}{5}\)
b. \(\frac{7}{10}+\frac{7}{10}+\frac{7}{10}\)
Answer:
3 x 7/10.
Explanation:
In the above-given question,
given that,
\(\frac{7}{10}+\frac{7}{10}+\frac{7}{10}\).
7/10 + 7/10 + 7/10.
3 x 7/10.
10 x 3 = 30.
30 + 7 = 37.
37/10 = 3(7/10).
c. \(\frac{5}{12}+\frac{5}{12}+\frac{5}{12}+\frac{5}{12}+\frac{5}{12}+\frac{5}{12}\)
Answer:
6 x 5/12.
Explanation:
In the above-given question,
given that,
\(\frac{5}{12}+\frac{5}{12}+\frac{5}{12}\).
5/12 + 5/12 + 5/12.
6 x 5/12.
12 x 6 = 72.
72 + 5 = 77.
77/12 = 6(5/12).
d. \(\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}+\frac{3}{8}\)
Answer:
12 x 3/8.
Explanation:
In the above-given question,
given that,
\(\frac{3}{8}+\frac{3}{8}+\frac{3}{8}\).
3/8 + 3/8 + 3/8.
12 x 3/8.
8 x 12 = 72.
72 + 3 = 75.
75/8 = 12(3/8).
Question 4.
Solve using any method. Express your answers as whole or mixed numbers.
a. 7 × \(\frac{2}{9}\)
Answer:
7 x 2/9.
Explanation:
In the above-given question,
given that,
\(\frac{2}{9}+\frac{2}{9}+\frac{2}{9}\).
2/9 + 2/9 + 2/9.
7 x 2/9.
7 x 9 = 63.
63 + 2 = 65.
65/9 = 7(2/9).
b. 11 × \(\frac{2}{3}\)
Answer:
11 x 2/3.
Explanation:
In the above-given question,
given that,
\(\frac{2}{3}+\frac{2}{3}+\frac{2}{3}\).
2/3 + 2/3 + 2/3.
11 x 2/3.
11 x 3 = 33.
33 + 2 = 35.
35/3 = 11(2/3).
c. 40 × \(\frac{2}{6}\)
Answer:
40 x 2/6.
Explanation:
In the above-given question,
given that,
\(\frac{2}{6}+\frac{2}{6}+\frac{2}{6}\).
2/6 + 2/6 + 2/6.
40 x 2/6.
40 x 6 = 240.
240 + 2 = 242.
242/6 = 40(2/6).
d. 24 × \(\frac{5}{6}\)
Answer:
24 x 5/6.
Explanation:
In the above-given question,
given that,
\(\frac{5}{6}+\frac{5}{6}+\frac{5}{6}\).
5/6 + 5/6 + 5/6.
24 x 5/6.
24 x 6 = 144.
144 + 5 = 149.
149/6 = 24(5/6).
e. 23 × \(\frac{3}{5}\)
Answer:
23 x 3/5.
Explanation:
In the above-given question,
given that,
\(\frac{3}{5}+\frac{3}{5}+\frac{3}{5}\).
3/5 + 3/5 + 3/5.
23 x 3/5.
23 x 5 = 115.
115 + 3 = 118.
118/3 = 23(3/5).
f. 34 × \(\frac{2}{8}\)
Answer:
34 x 2/8.
Explanation:
In the above-given question,
given that,
\(\frac{2}{8}+\frac{2}{8}+\frac{2}{8}\).
2/8 + 2/8 + 2/8.
34 x 2/8.
34 x 8 = 272.
272 + 2 = 274.
274/8 = 34(2/8).
Question 5.
Coleton is playing with interlocking blocks that are each \(\frac{3}{4}\) inch tall. He makes a tower 17 blocks tall. How tall is his tower in inches?
Answer:
The tall is his tower in inches = 12.75 inches.
Explanation:
In the above-given question,
given that,
Coleton is playing with interlocking blocks that are each 3/4 inch tall.
He makes a tower 17 blocks tall.
3/4 = 0.75.
0.75 x 17 = 12.75 in.
Question 6.
There were 11 players on Mr. Maiorani’s softball team. They each ate \(\frac{3}{8}\) of a pizza. How many pizzas did they eat?
Answer:
The number of pizzas did they eat = 4.125.
Explanation:
In the above-given question,
given that,
There were 11 players on Mr. Maiorani’s softball team.
They each ate 3/8 of a pizza.
3/8 = 0.375.
0.375 x 11 = 4.125
Question 7.
A bricklayer places 12 bricks end to end along the entire outside length of a shed’s wall. Each brick is \(\frac{3}{4}\) foot long. How many feet long is that wall of the shed?
Answer:
The feet long is that wall of the shed = 9 feet.
Explanation:
In the above-given question,
given that,
A bricklayer places 12 bricks end to end along the entire outside length of a shed’s wall.
Each brick is 3/4 foot long.
3/4 = 0.75.
0.75 x 12 = 9.