Division of Fractions

Dividing Fractions

100

5 divided by 1/2

10

200

6 divided by 3 and 1/5

1 and 7/8

300

2 and 4/6 divided by 2/3

4

400

A group of friends is sharing  2 and 1/2 pounds of berries.

1. If each friend received 5/4 of a pound of berries, how many friends are sharing the berries?
2. If 5 friends are sharing the berries, how many pounds of berries does each friend receive?

1.   2 friends ( 2 and 1/2 divided by 5/4 = 2)

2.   1/2 pound (2 and 1/2 divided by 5 = 1/2)

500

6 and 3/4 divided by 2 and 5/6

2 and 13/34

Fraction Skills

100

3/4 + 2/12

11/12

200

4/6 - 1/8

13/24

300

4 and 2/3 - 3 and 5/6

5/6

400

4/15 + 1/8

47/120

500

18/3 + 6/11

6 and 18/33

Story Problems

100

Consider the problem: Tyler painted 9/2 square yards of wall area with 3 gallons of paint. How many gallons of paint does it take to paint each square yard of wall?

1. Write multiplication and division equations to represent the situation

Multiplication: 9/2 x ? = 3

Division: 3 divided by 9/2 = ?

It takes 2/3 gallons of paint for each square yard of wall

200

After raining for 3/4 of an hour, a rain gauge is 2/5 filled. If it continues to rain at that rate for 15 more minutes, what fraction of the rain gauge will be filled?

Write a multiplication equation and a division equation that represents the situation

?= 8/15 filled 

3/4 x ? = 2/5

2/5 divided by 3/4 = ?

300

2/5  kilogram of soil fills 1/3 of a container. Can 1 kilogram of soil fit in the container? Explain or show your reasoning. 

Yes. Reasonings vary. Sample reasonings:

• The container can fit 3 x 2/5 or 6/5 kilograms of soil, which is greater than 1 kilogram.
• 2/5 divided by 1/3 gives a quotient greater than 1, which means that the container can fit more than 1 kilogram.

400

Consider the problem: After walking 1/4 mile from home, Han is 1/3 of his way to school. What is the distance between his home and school?

1. Write multiplication and division equations to represent this situation.

Multiplication: 1/3 x ? = 1/4

Division: 1/4 divided by 1/3 = ?

3/4 mile 

500

Consider the problem: Students in a sixth-grade class are raising money for an end-of-year camping trip. So far, they have raised $240. This is 2/5 of the cost of the trip. How much does the trip cost?

Write a multiplication equation and a division equation and draw a diagram to represent the situation. Then, find the answer and show your reasoning.

2/5 x ? = 240
240 divided by 2/5 = ?

The trip costs $600

Diagrams

100

Here is a division equation: 4/5 divided by 2/3 = ?

1. Write a multiplication equation that corresponds to the division equation.

2. Draw a diagram to represent and answer the question.

1: 2/3 x ? = 4/5

2. 6/5

200

DAILY DOUBLE:

Complete the tape diagram to represent and answer the question.

Eli has picked 1 cup of strawberries for a cake, which is enough for 3/4 of the cake. How many cups does she need for the whole cake?

1 and 1/3 cups of strawberries

300

Complete the tape diagram to represent and answer the question.

Destiny picked 1 and 1/2 cups of raspberries, which is enough for 3/4 of a cake. How many cups does she need for the whole cake?

2 cups of raspberries

400

There is 1/3 gallon of water in a 3-gallon container. What fraction of the container is filled?

1. Write a multiplication equation and a division equation to represent the situation.

2. Draw a tape diagram to represent the situation. Then, answer the question.

1/9

? x 3 = 1/3

1/3 divided by 3 = ?

500

Consider the problem: How many 3/4s are in 2?

1. Write a multiplication equation and a division equation that can be used to answer the question.

2. Draw a tape diagram and answer the question. 

1. ? x 3/4 = 2     2 divided by 3/4 = ?

2. There are two and two-thirds 3/4s in 2