We included HMH Into Math Grade 4 Answer Key PDF Module 16 Review to make students experts in learning maths.
HMH Into Math Grade 4 Module 16 Review Answer Key
Concepts and Skills
Write the first 4 multiples of the fraction.
Question 1.
\(\frac{5}{8}\): ___________
Answer:
\(\frac{5}{8}\), \(\frac{10}{8}\), \(\frac{15}{8}\), \(\frac{20}{8}\)
Explanation:
Multiples of a fraction are the same as multiples of an integer.
Multiples are the numbers, when we multiply a certain number by an integer.
Question 2.
\(\frac{2}{6}\): ____________
Answer:
\(\frac{2}{6}\), \(\frac{4}{6}\):, \(\frac{6}{6}\):, \(\frac{8}{6}\)
Explanation:
Multiples of a fraction are the same as multiples of an integer.
Multiples are the numbers, when we multiply a certain number by an integer.,
Write the fraction as a product of a whole number and a unit fraction.
Question 3.
\(\frac{4}{6}\) = ___________
Answer:
4\(\frac{1}{6}\) =
\(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) + \(\frac{1}{6}\) +
\(\frac{1}{6}\) + \(\frac{1}{6}\)
Explanation:
Whole is divided into 6 equal parts.
\(\frac{4}{6}\) or \(\frac{2}{3}\) is a unit fraction.
Product is 4\(\frac{1}{6}\)
Question 4.
\(\frac{5}{8}\) = __________
Answer:
5\(\frac{1}{8}\) =
\(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\) + \(\frac{1}{8}\) +
\(\frac{1}{8}\)
Explanation:
Whole is divided into 8 equal parts.
\(\frac{5}{8}\) is a unit fraction.
product is 5\(\frac{1}{8}\)
Question 5.
\(\frac{12}{10}\) = ____________
Answer:
12\(\frac{1}{10}\)
Explanation:
Whole is divided into 10 equal parts.
\(\frac{12}{10}\) or \(\frac{6}{5}\) is a unit fraction.
product is 12\(\frac{1}{10}\)
Find the product.
Question 6.
3 × \(\frac{5}{12}\) = ___________
Answer:
\(\frac{15}{12}\)
Explanation:
Convert mixed fraction into improper fraction.
3 × \(\frac{5}{12}\) = \(\frac{3×5}{12}\) = \(\frac{15}{12}\)
Question 7.
5 × \(\frac{4}{6}\) = ____________
Answer:
\(\frac{20}{6}\) = \(\frac{10}{3}\)
Explanation:
Convert mixed fraction into improper fraction.
5 × \(\frac{4}{6}\) = \(\frac{4×5}{6}\)
= \(\frac{20}{6}\) = \(\frac{10}{3}\)
Question 8.
2 × \(\frac{1}{5}\) = ___________
Answer:
\(\frac{2}{5}\)
Explanation:
Convert mixed fraction into improper fraction.
2 × \(\frac{1}{5}\) = \(\frac{2}{5}\)
Find the product. Write your answer as a mixed number.
Question 9.
4 × 1\(\frac{4}{5}\) = ___________
Answer:
\(\frac{36}{5}\) or 36 x \(\frac{1}{5}\)
Explanation:
First convert mixed fraction into improper fraction.
1\(\frac{4}{5}\) = \(\frac{9}{5}\)
4 x \(\frac{9}{5}\) = \(\frac{36}{5}\)
Question 10.
3 × 4\(\frac{1}{4}\) = ___________
Answer:
\(\frac{51}{4}\) or 51x \(\frac{1}{4}\)
Explanation:
First convert mixed fraction into improper fraction.
4\(\frac{1}{4}\) = \(\frac{17}{4}\)
3 x \(\frac{17}{4}\) = \(\frac{51}{4}\)
Question 11.
6 × 2\(\frac{3}{8}\) = ___________
Answer:
\(\frac{114}{8}\) or 118 x \(\frac{1}{8}\)
Explanation:
First convert mixed fraction into improper fraction.
2\(\frac{3}{8}\) = \(\frac{19}{8}\)
6 x \(\frac{19}{8}\) = \(\frac{114}{8}\)
Question 12.
Use Tools Joanna is making 6 winter scarves for her family. She uses \(\frac{2}{3}\) of a pack of yarn for each scarf. How much yarn does she need for 6 winter scarves? Name the strategy or tool you will use to answer the question, explain your choice, and then find the answer.
(A) \(\frac{2}{3}\)
(B) \(\frac{8}{3}\)
(C) \(\frac{11}{3}\)
(D) \(\frac{12}{3}\)
Answer:
Option(D)
Explanation:
Joanna is making 6 winter scarves for her family.
She uses \(\frac{2}{3}\) of a pack of yarn for each scarf.
Total yarn she need for 6 winter scarves = 6\(\frac{2}{3}\)
= \(\frac{12}{3}\)
Question 13.
Which of the following are correct ways to express the product of 5 and 2\(\frac{3}{8}\)? Select all that are correct.
(A) (5 × 2) – (5 × \(\frac{3}{8}\))
(B) (5 × 2) + \(\frac{3}{8}\)
(C) 5 \(\frac{19}{8}\)
(D) 11\(\frac{7}{8}\)
(E) 10\(\frac{3}{8}\)
Answer:
Option(C)
Explanation:
5 and 2\(\frac{3}{8}\) is expressed as
5 x \(\frac{19}{8}\)
Question 14.
Mae is making 4 loaves of bread for a party. She uses \(\frac{3}{4}\) of a bag of flour for each loaf. How many bags of flour does she need for 4 loaves?
(A) \(\frac{19}{4}\)
(B) \(\frac{16}{4}\)
(C) \(\frac{12}{4}\)
(D) \(\frac{7}{4}\)
Answer:
Option(A)
Explanation:
Mae is making 4 loaves of bread for a party.
She uses \(\frac{3}{4}\) of a bag of flour for each loaf.
Total bags of flour she need for 4 loaves = 4\(\frac{3}{4}\)
= \(\frac{19}{4}\)
Question 15.
Gil puts grass seed on the floor of 3 identical goat enclosures. He uses \(\frac{2}{5}\) of a bag of seed in each enclosure. How many bags of seed does Gill use?
Answer:
\(\frac{17}{5}\)
Explanation:
Gil puts grass seed on the floor of 3 identical goat enclosures.
He uses \(\frac{2}{5}\) of a bag of seed in each enclosure.
Total bags of seed Gill use = 3\(\frac{2}{5}\)
= \(\frac{17}{5}\)
Question 16.
Fergie is building a table. Each side has a border that is 2\(\frac{2}{8}\) feet long. What length of border does she need for all 4 sides?
Answer:
\(\frac{72}{8}\) or 4 feet
Explanation:
Each side of a table has a border that is 2\(\frac{2}{8}\) feet long.
Total length of border she need for all 4 sides = 2\(\frac{2}{8}\)
= 4 x \(\frac{18}{8}\) = \(\frac{72}{8}\) = 4 feet
Question 17.
Jack is making a playlist to record on a laptop as background music for a slide show. He wants the playlist to last 10 minutes or less. Jack says he can record 4 songs that are each 2\(\frac{2}{3}\) minutes long, Is Jack correct? Explain.
Answer:
Jack is wrong
Explanation:
Jack wants the playlist to last 10 minutes or less.
Jack says he can record 4 songs that are each 2\(\frac{2}{3}\) minutes long,
4 x 2\(\frac{2}{3}\) = 4 x \(\frac{8}{3}\) = \(\frac{32}{3}\)
= 10 \(\frac{2}{3}\)
4 songs crossing 10 min