Practice with the help of **Spectrum Math Grade 5 Answer Key Chapter 4 Lesson 4.1 Fractions and Division** regularly and improve your accuracy in solving questions.

## Spectrum Math Grade 5 Chapter 4 Lesson 4.1 Fractions and Division Answers Key

Fractions tell how items are divided. When you see a fraction written like this, \(\frac{1}{3}\) that means something has been divided into 3 parts and the fraction is one of those parts. The division problem 1 ÷ 3, gives the same result.

**Read each problem and then answer the questions.**

Question 1.

If you have 3 pies, and you want to split them between 4 people, how much pie will each person receive?

Each pie will be cut into _____ pieces.

Each person will receive ____ of a pie.

Answer:

Amount of pie each person gets = \(\frac{3}{4}\).

Each pie will be cut into 3 pieces.

Each person will receive \(\frac{3}{4}\) of a pie.

Explanation:

Number of pies = 3.

Number of people to divide the pies = 4.

Amount of pie each person gets = Number of pies ÷ Number of people to divide the pies

= 3 ÷ 4

= \(\frac{3}{4}\)

Question 2.

A 45-pound bag of rice is going to be split between 5 families. How much rice will each family receive?

The way to write this as a division problem is _____.

The way to write this as a fraction is ____.

Each family will receive ____ pounds of rice.

Answer:

Number of pounds of rice each family gets = 9.

The way to write this as a division problem is 45 ÷ 5.

The way to write this as a fraction is \(\frac{45}{5}\).

Each family will receive 9 pounds of rice.

Explanation:

Number of pounds of rice bag = 45.

Number of families the rice bag is split = 5.

Number of pounds of rice each family gets = Number of pounds of rice bag ÷ Number of families the rice bag is split

= 45 ÷ 5

= 9.

Question 3.

A group of 3 students has to read a 21 -page chapter for homework. How many pages will each student have to read if they are sharing the load?

The way to write this as a division problem is ____.

The way to write this as a fraction is ____.

Each student will need to read ___ pages of the chapter.

Answer:

Number of pages will each student have to read if they are sharing the load = 7.

The way to write this as a division problem is 21 ÷ 3.

The way to write this as a fraction is \(\frac{21}{3}\).

Each student will need to read 7 pages of the chapter.

Explanation:

Number of students a group has = 3.

Number of page chapter for homework = 21.

Number of pages will each student have to read if they are sharing the load = Number of page chapter for homework ÷ Number of students a group has

= 21 ÷ 3

= 7.

Question 4.

John bought two 5-pound bags of candy to share with his classmates. If there are 25 students in John’s class, how much candy will each student receive?

Each bag of candy will be split _____ ways.

Each person will receive ____ pounds of candy.

Answer:

Number of candies each student will receive = 0.4.

Each bag of candy will be split 5 ways.

Each person will receive 0.4 pounds of candy.

Explanation:

Number of pounds bags of candy to share with his classmates John bought = 2 × 5pounds = 10 pounds.

Number of students in John’s class = 25.

Number of candies each student will receive = Number of pounds bags of candy to share with his classmates John bought ÷ Number of students in John’s class

= 10 ÷ 25

= 2 ÷ 5

= 0.4.