whole times a fraction
whole times a mixed
part OF a whole
diagrams
fractions as division & division as fraction word problems
100

6 x 2/3

12/3 = 4

100

3 x 2 4/5

8 2/5

100

Mike prepared 7 pounds of crawfish. His family ate 4/5 of the crawfish. How many pounds of crawfish did Mike's family eat? 

4/5 OF 7 = 4/5 x 7 =

28/5 = 5 3/5 pounds


100

View the diagram on slide #2. 

Write an expression that represents the area of the shaded part of the diagram.

Answers may vary and may include:

4 x 3/5

12/5

2 2/5

4 x 3 x 1/5

100

9 students share 4 pounds of candy. How many pounds of candy does each student get. 

Write your answer as a division equation. 

Simplify, if needed.

4 / 9 = 4/9

200

4/7 x 5

20/7 = 2 6/7

200

4 2/3 x 7

32 2/3

200

Stella's favorite playlist is 9 hours long. She got to listen to 5/8 of her playlist on the car ride to her grandmothers house. How many hours did Stella get to listen to music?

5/8 OF 9 = 5/8 x 9 =

45/8 = 5 5/8 hours

200

View the diagram on slide #3.

Write an expression that represents the area of the shaded part of the diagram.

Answers may vary and may include:

4 x 4 2/3

(4 x 4) + (4 x 2/3)

(4 x 5) - (4 x 1/3)

18 2/3

200

3 students were running a 6 mile relay. How many miles did each student run?

Write your answer as a division equation. 

Simplify, if needed.

6 / 3 = 6/3 = 2 miles

300

8 x 1/4

8/4 = 2

300

8 x 2 2/5

19 1/5

300

It is 9 miles from school to Jamison's house. Jamison rode his bike 3/5 of the way home before his dad picked him up. How many miles did Jamison ride his bike?

3/5 OF 9 = 3/5 x 9

27/5 =5 2/5 miles

300

View the diagram on slide #4.

Explain how this diagram can be represented by the following expression:

3 x 2/5

3 groups of 2/5 

OR

3 wholes

2/5 shaded in each whole

300

Stanley has a 12 foot board to cut into 6 equal parts. How long is each piece after it is cut?

Write your answer as a division equation. 

Simplify, if needed.

12 / 6=12/6 or 2 feet

400

6/7 x 6

36/7 = 5 1/7

400

6 x 5 3/4

34 2/4 

or 34 1/2

400

Monica is assigned 6 hours of reading. She completed 2/3 of her assigned reading time. How many hours did Monica read?

2/3 OF 6 = 2/3 x 6 =

12/3 = 4 hours

400

View the diagram on slide #5.

Explain how this diagram can be represented by the following expression:

3 x 2 x 1/5

3 wholes

2 shaded in each whole

each part is 1/5

400

8 pizzas are being shared by 23 students. How much pizza does each student get?

Write your answer as a division equation. 

Simplify, if needed.

8 / 23 = 8/23

500

9 x 3/4

27/4 = 6 3/4

500

9 x 3 5/6

34 3/6 

OR 34 1/2

500

Gianna has 10 yards of ribbon. She used 7/8 of her ribbon for a project. How many yards of ribbon did Gianna use?

7/8 OF 10 = 7/8 x 10=

70/8 = 8 6/8 

OR 8 3/4

500

View the diagram on slide #6.

Write an expression that represents the area of the shaded part of the diagram.

Answers vary and may include: 

5 x 2 2/5

5 x 12/5

(5 x 5) + (5 x 2/5)

(5 x 3) - (5 x 3/5)

500

3 teachers are sharing 18 Dr. Peppers. How many Dr. Peppers does each teacher get?

Write your answer as a division equation. 

Simplify, if needed.

18 / 3 = 18/3 = 6