## Go Math Grade 4 Answer Key Homework FL Chapter 8 Multiply Fractions by Whole Numbers Review/Test

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### Review/Test – Page No. 337

Choose the best term from the box.

Question 1.
A ________ can name part of a whole or part of a group.
________

A fraction can name part of a whole or part of a group.

Question 2.
A ______________ of a number is the product of the number and a counting number.
________

A mutiple of a number is the product of the number and a counting number.

List the next four multiples of the unit fraction.

Question 3.
$$\frac{1}{8}$$,
Type below:
________

Answer: 1/8, 2/8, 3/8, 4/8, 5/8

Explanation:
The next four multiples of the unit fraction $$\frac{1}{8}$$ are 1/8, 2/8, 3/8, 4/8, 5/8

Question 4.
$$\frac{1}{4}$$,
Type below:
________

Explanation:
The next four multiples of the unit fraction $$\frac{1}{4}$$ are 2/4, 3/4, 4/4, 5/4.

Write the fraction as a product of a whole number and a unit fraction.

Question 5.
$$\frac{7}{12}$$
Type below:
________

Explanation:
Given the fraction $$\frac{7}{12}$$
The whole number is 7 and the unit fraction is $$\frac{1}{12}$$.

Question 6.
$$\frac{4}{12}$$
Type below:
________

Explanation:
Given the fraction $$\frac{4}{12}$$
The whole number is 4 and the unit fraction is $$\frac{1}{12}$$.

Question 7.
$$\frac{5}{4}$$
Type below:
________

Explanation:
Given the fraction $$\frac{5}{4}$$
The whole number is 5 and the unit fraction is $$\frac{1}{4}$$.

Question 8.
$$\frac{3}{10}$$,
Type below:
________

Explanation:
Given the fraction $$\frac{3}{10}$$
The whole number is 3 and the unit fraction is $$\frac{1}{10}$$.

Question 9.
$$\frac{2}{3}$$,
Type below:
________

Explanation:
Given the fraction $$\frac{2}{3}$$
The whole number is 2 and the unit fraction is $$\frac{1}{3}$$.

Write the product as the product of a whole number and a unit fraction.

Question 10.
3 × $$\frac{2}{4}$$,
Type below:
________

Answer: 6, $$\frac{1}{4}$$

Explanation:
Given the fraction 3 × $$\frac{2}{4}$$
3 × $$\frac{2}{4}$$ = $$\frac{6}{4}$$
The whole number is 6, and the unit fraction is $$\frac{1}{4}$$

Question 11.
2 × $$\frac{3}{5}$$,
Type below:
________

Explanation:
Given the fraction 2 × $$\frac{3}{5}$$,
$$\frac{6}{5}$$
The whole number is 6, and the unit fraction is $$\frac{1}{5}$$

Question 12.
4 × $$\frac{2}{3}$$,
Type below:
________

Explanation:
Given the fraction 4 × $$\frac{2}{3}$$,
= $$\frac{8}{3}$$
The whole number is 8, and the unit fraction is $$\frac{1}{3}$$

Multiply.

Question 13.
5 × $$\frac{7}{10}$$ = $$\frac{□}{□}$$

Explanation:
5 × $$\frac{7}{10}$$
Multiply the whole number with the numerator of the fraction.
= $$\frac{35}{10}$$
5 × $$\frac{7}{10}$$ = $$\frac{35}{10}$$

Question 14.
4 × $$\frac{3}{4}$$ = $$\frac{□}{□}$$

Explanation:
4 × $$\frac{3}{4}$$
Multiply the whole number with the numerator of the fraction.
4 × $$\frac{3}{4}$$ = $$\frac{12}{4}$$ = 3

Question 15.
3 × $$\frac{8}{12}$$ = $$\frac{□}{□}$$

Explanation:
3 × $$\frac{8}{12}$$
Multiply the whole number with the numerator of the fraction.
$$\frac{24}{12}$$ = 2

Multiply. Write the product as a mixed number.

Question 16.
3 × 1 $$\frac{1}{8}$$ = ______ $$\frac{□}{□}$$

Answer: 3 $$\frac{3}{8}$$

Explanation:
3 × 1 $$\frac{1}{8}$$
Convert from mixed fraction to the improper fraction.
1 $$\frac{1}{8}$$ = $$\frac{9}{8}$$
3 × $$\frac{9}{8}$$ = $$\frac{27}{8}$$
= 3 $$\frac{3}{8}$$

Question 17.
2 × 2 $$\frac{1}{5}$$ = ______ $$\frac{□}{□}$$

Answer: 4 $$\frac{2}{5}$$

Explanation:
2 × 2 $$\frac{1}{5}$$
Convert from mixed fraction to the improper fraction.
2 × $$\frac{11}{5}$$
= $$\frac{22}{5}$$
= 4 $$\frac{2}{5}$$
2 × 2 $$\frac{1}{5}$$ = 4 $$\frac{2}{5}$$

Question 18.
8 × 1 $$\frac{3}{5}$$ = _______ $$\frac{□}{□}$$

Explanation:
8 × 1 $$\frac{3}{5}$$
Convert from mixed fraction to the improper fraction.
8 × 1 $$\frac{3}{5}$$ = 8 × $$\frac{8}{5}$$
= $$\frac{64}{5}$$
Convert from improper fraction to the mixed fraction.
$$\frac{64}{5}$$ = 12 $$\frac{4}{5}$$
8 × 1 $$\frac{3}{5}$$ = 12 $$\frac{4}{5}$$

### Review/Test – Page No. 338

Question 19.
Bryson has soccer practice for 2 $$\frac{1}{4}$$ hours 2 times a week. How much time does Bryson spend at soccer practice in 1 week?
Options:
a. 2 hours
b. 4 hours
c. 4 $$\frac{2}{4}$$ hours
d. 8 $$\frac{2}{4}$$ hours

Answer: 4 $$\frac{2}{4}$$ hours

Explanation:
Given,
Bryson has soccer practice for 2 $$\frac{1}{4}$$ hours 2 times a week.
2 $$\frac{1}{4}$$ × 2
= 4 $$\frac{2}{4}$$ hours
Bryson spend 4 $$\frac{2}{4}$$ hours at soccer practice in 1 week.
Thus the correct answer is option c.

Question 20.
Nigel cut a loaf of bread into 12 equal slices. His family ate some of the bread and now $$\frac{5}{12}$$ is left. Nigel wants to put each of the leftover slices in its own bag. How many bags does Nigel need?
Options:
a. 5
b. 7
c. 12
d. 17

Explanation:
Given,
Nigel cut a loaf of bread into 12 equal slices.
His family ate some of the bread and now $$\frac{5}{12}$$ is left.
Nigel wants to put each of the leftover slices in its own bag.
$$\frac{5}{12}$$ × 12 = 5
Therefore Nigel needs 5 bags.
Thus the correct answer is option a.

Question 21.
Micala made a list of some multiples of $$\frac{3}{5}$$. Which could be Micala’s list?
Options:
a. $$\frac{3}{5}, \frac{9}{5}, \frac{12}{5}, \frac{19}{5}$$
b. $$\frac{3}{5}, \frac{6}{10}, \frac{9}{15}, \frac{12}{20}$$
c. $$\frac{1}{5}, \frac{3}{5}, \frac{6}{5}, \frac{9}{5}$$
d. $$\frac{3}{5}, \frac{6}{5}, \frac{9}{5}, \frac{12}{5}$$

Answer: $$\frac{3}{5}, \frac{6}{10}, \frac{9}{15}, \frac{12}{20}$$

Explanation:
The next multiples of $$\frac{3}{5}$$ is $$\frac{3}{5}, \frac{6}{10}, \frac{9}{15}, \frac{12}{20}$$.
Thus the correct answer is option b.

Question 22.
Lincoln spent 1 $$\frac{1}{4}$$ hours reading a book. Phoebe spent 3 times as much time as Lincoln reading a book. How much time did Phoebe spend reading?
Options:
a. 1 $$\frac{1}{16}$$ hours
b. 3 $$\frac{1}{4}$$ hours
c. 3 $$\frac{3}{4}$$ hours
d. 4 $$\frac{1}{4}$$ hours

Answer: 3 $$\frac{3}{4}$$ hours

Explanation:
Given,
Lincoln spent 1 $$\frac{1}{4}$$ hours reading a book.
Phoebe spent 3 times as much time as Lincoln reading a book.
1 $$\frac{1}{4}$$ × 3
$$\frac{5}{4}$$ × 3 = $$\frac{15}{4}$$
Convert from improper fraction to the mixed fraction.
$$\frac{15}{4}$$ = 3 $$\frac{3}{4}$$ hours
Phoebe spent 3 $$\frac{3}{4}$$ hours for reading.
Thus the correct answer is option c.

### Review/Test – Page No. 339

Question 23.
Griffin used a number line to write the multiples of $$\frac{3}{8}$$. Which multiple on the number line shows the product 2 × $$\frac{3}{8}$$?

Options:
a. $$\frac{2}{8}$$
b. $$\frac{3}{8}$$
c. $$\frac{6}{8}$$
d. $$\frac{9}{8}$$

Answer: $$\frac{9}{8}$$

Explanation:
Given,
Griffin used a number line to write the multiples of $$\frac{3}{8}$$.
The multiples of $$\frac{3}{8}$$ is $$\frac{6}{8}$$, $$\frac{9}{8}$$
3 × $$\frac{3}{8}$$ = $$\frac{9}{8}$$
Thus the correct answer is option d.

Question 24.
Serena’s rabbit weighs 3 $$\frac{1}{2}$$ pounds. Jarod’s rabbit weighs 3 times as much as Serena’s rabbit. How much does Jarod’s rabbit weigh?
Options:
a. 3 $$\frac{1}{6}$$ pounds
b. 7 $$\frac{1}{6}$$ pounds
c. 9 $$\frac{1}{2}$$ pounds
d. 10 $$\frac{1}{2}$$ pounds

Answer: 10 $$\frac{1}{2}$$ pounds

Explanation:
Given,
Serena’s rabbit weighs 3 $$\frac{1}{2}$$ pounds.
Jarod’s rabbit weighs 3 times as much as Serena’s rabbit.
3 $$\frac{1}{2}$$ = $$\frac{7}{2}$$
$$\frac{7}{2}$$ × 3 = $$\frac{21}{2}$$
Convert from improper fraction to the mixed fraction.
$$\frac{21}{2}$$ = 10 $$\frac{1}{2}$$ pounds
Thus the correct answer is option d.

Question 25.
Jacadi is setting up a tent. Each section of a tent pole is $$\frac{2}{3}$$ yard long. She needs 4 sections to make 1 pole. How long is 1 tent pole?
Options:
a. $$\frac{12}{3}$$ yards
b. $$\frac{8}{3}$$ yards
c. 8 yards
d. $$\frac{4}{3}$$ yards

Answer: $$\frac{12}{3}$$ yards

Explanation:
Given,
Jacadi is setting up a tent. Each section of a tent pole is $$\frac{2}{3}$$ yard long. She needs 4 sections to make 1 pole.
$$\frac{2}{3}$$ × 4 = $$\frac{12}{3}$$
Thus the correct answer is option a.

### Review/Test – Page No. 340

Question 26.
Oliver has music lessons Monday, Wednesday, and Friday. Each lesson is $$\frac{3}{4}$$ hour. Oliver says he will have lessons for 2 $$\frac{1}{2}$$ hours this week. Do you agree or disagree? Explain your reasoning.
________

Answer: Oliver is incorrect because if he were correct he would learn for 2 hours and $$\frac{1}{2}$$ minutes because, $$\frac{3}{4}$$ × 3 = 3 $$\frac{1}{2}$$ hours.

Question 27.
The common snapping turtle is a freshwater turtle. It can grow to about 1 $$\frac{1}{6}$$ feet long. The leatherback sea turtle is the largest of all sea turtles. The average length of a leatherback is about 5 times as long as a common snapping turtle.

A. Draw a diagram to compare the lengths of the turtles. Then write an equation to find the length of a leatherback. Explain how the diagram helps you write the equation.
Type below:
________

Answer: 1 $$\frac{1}{6}$$x

Question 27.
B. About how long is the leatherback sea turtle?
______ $$\frac{□}{□}$$ feet

Answer: 5 $$\frac{5}{6}$$ feet

Explanation:
1 $$\frac{1}{6}$$ × 5
Convert from mixed fraction to the improper fraction.
1 $$\frac{1}{6}$$ = $$\frac{7}{6}$$
$$\frac{7}{6}$$ × 5 = 5 $$\frac{5}{6}$$ feet

Question 27.
______ $$\frac{□}{□}$$ feet

Answer: 3 $$\frac{3}{6}$$ feet

Explanation:
Given,
A loggerhead sea turtle is about 3 times as long as the common snapping turtle.
1 $$\frac{1}{6}$$ × 3
Convert from the mixed fraction to the improper fraction.
1 $$\frac{1}{6}$$ = $$\frac{7}{6}$$
$$\frac{7}{6}$$ × 3 = 3 $$\frac{3}{6}$$ feet

### Conclusion:

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