Go Math Grade 4 Answer Key Homework FL Chapter 8 Multiply Fractions by Whole Numbers Review/Test: Apply and extend previous understandings of multiplication to multiply by a fraction by a whole number. The main aim of the Go Math Answer Key is to make the students understand the concept of Multiply Fractions by Whole Numbers. Download Go Math Grade 4 Answer Key Chapter 8 Multiply Fractions by Whole Numbers Review/Test to test your math skills.
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
- Review/Test – Page No. 338
- Review/Test – Page No. 339
- Review/Test – Page No. 340
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.
________
Answer: Fraction
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.
________
Answer: Multiple
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:
________
Answer: 2/4, 3/4, 4/4, 5/4
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:
________
Answer: 7, 1/12
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:
________
Answer: 4, 1/12
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:
________
Answer: 5, 1/4
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:
________
Answer: 3, 1/10
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:
________
Answer: 2, 1/3
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:
________
Answer: 6, 1/5
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:
________
Answer: 8, 1/3
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 × \(\frac{7}{10}\) = \(\frac{□}{□}\)
Answer: 35/10
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 × \(\frac{3}{4}\) = \(\frac{□}{□}\)
Answer: 3
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 × \(\frac{8}{12}\) = \(\frac{□}{□}\)
Answer: 2
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 \(\frac{3}{5}\) = _______ \(\frac{□}{□}\)
Answer: 64/5
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
Fill in the bubble completely to show your answer.
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
Answer: 5
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
Fill in the bubble completely to show your answer.
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.
A loggerhead sea turtle is about 3 times as long as the common snapping turtle. How long is the loggerhead? Explain your answer.
______ \(\frac{□}{□}\) 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 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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