All the solutions provided in McGraw Hill Math Grade 5 Answer Key PDF Chapter 8 Lesson 3 Interpreting Division of Whole Numbers by Fractions are as per the latest syllabus guidelines.
McGraw-Hill Math Grade 5 Answer Key Chapter 8 Lesson 3 Interpreting Division of Whole Numbers by Fractions
Interpret
Solve. Use models to help.
Question 1.
Mandy has a bucket that can hold 7 gallons of liquid. If she uses a cup that can hold \(\frac{1}{5}\) of a gallon, how many cups of liquid will she need to fill the bucket?
Answer:
35 cups of liquid will she need to fill the bucket.
Explanation:
Number of gallons of liquid Mandy has a bucket that can hold = 7.
Number of gallons of liquid of cup she uses = \(\frac{1}{5}\)
Conversion:
1cup = 0.0625 gallon.
Number of cups of liquid she will need to fill the bucket = Number of gallons of liquid Mandy has a bucket that can hold ÷ \(\frac{1}{5}\)
= 7 ÷ 0.2
= 35.
Question 2.
Amy has a backpack that can hold up to 5 kilograms. She also has a stack of books. Each book has a mass of \(\frac{1}{3}\) of 1 kilogram. How many books will fill the backpack?
Answer:
Number of books will fill the backpack = 15.15.
Explanation:
Number of kilograms Amy has a backpack that can hold up to = 5.
Number of kilograms each book has = \(\frac{1}{3}\)
Number of books will fill the backpack = Number of kilograms Amy has a backpack that can hold up to ÷ Number of kilograms each book has
= 5 ÷ \(\frac{1}{3}\)
= 5 ÷ 0.33
= 15.15.
Question 3.
Mr. Wagner has a bowl that can hold 3 quarts. If he uses a scoop that can hold \(\frac{1}{4}\) of a quart, how many scoops of liquid will he need to fill the bowl?
Answer:
Number of scoops of liquid he needs to fill the bowl = 12.
Explanation:
Number of quarts Mr. Wagner has a bowl that can hold = 3.
Number of quarts he uses a scoop that can hold = \(\frac{1}{4}\)
Number of scoops of liquid he needs to fill the bowl = Number of quarts Mr. Wagner has a bowl that can hold ÷ Number of quarts he uses a scoop that can hold
= 3 ÷ \(\frac{1}{4}\)
= 3 ÷ 0.25
= 12.