FRACTION EQUIVALENCE
DIVIDING WITH FRACTIONS
WORD PROBLEMS
GEOMETRY & MEASUREMENT
EQUATIONS & REASONING
100

Write 6/4 as a mixed number.

1 1/2

100

To divide by a fraction, you multiply by the ____.

Reciprocal

100

A recipe needs 3/4 cup per serving. How many servings from 6 cups?

8 servings

100

What is the formula for the volume of a rectangular prism?

V=l×w×h

100

True or False: Dividing by a fraction makes the number larger.

Sometimes true.

200

Write 2 3/4 as an improper fraction.

11/4

200

Which expression shows the correct way to solve
15 ÷ 2/9

A. 15 x 2/9

B. 15 x 9/2

B. 15 x 9/2

200

Sophie divides 1 1/2 gallons equally into 4 containers. How much per container?

3/8 gallons per container.

200

A box has volume 50 in³ and a base of 5 in by 4 in. What is the height?

2.5 inches (or 2 1/2)

200

Write an equation represents:
“2 1/2 is 5/8 of the total”?

5/8 x ? = 2 1/2

300

Convert 1 2/3 to an improper fraction.

5/3

300

Find the value of 1/4÷2/3

3/8

300

Mai biked 6 3/4 miles. Noah biked 4 1/2 miles.
How many times as far did Mai bike?

3/2 or 1 1/2 times as far.

300

What is the formula for the area of a triangle?

A=1/2 x b x h 

300

Solve the equation:
5/8 x ? = 2 1/2

? = 4

400

True or False: 10/4 = 2 3/4

False. 10/4 is equal to 2 2/4

400

Which quotient is less than 1?
1/4÷1/8
1÷1/4
2/3÷1/4
1/4÷2/3

1/4÷2/3

400

One lap is 1/4 mile. It takes 1/20 hour per lap.
What is the speed?

5 miles per hour.

400

A triangle has base 2 cm and height 3/4 cm. What is the area?

3/4 cm2

400

Explain why 3÷2/3 is greater than 3.

You are counting how many 2/3 groups fit in 3 wholes.

500

Write two fractions equivalent to 3/2

6/4 and 9/6 (answers may vary).

500

Solve: 5 2/3÷3/2

34/9 OR 3 7/9

500

Write a division equation to represent:
“6 cups shared in groups of 3/4 cup.”

6 ÷ 3/4

500

If cube boxes have edge length 1/2 foot, how many fit in a container that is
5 ft × 5 ft × 4 ft?

200 boxes

500

Andre says 3 ÷ 2/3= 4 1/3. Do you agree with him? Why or why not?

No. The correct answer is 4 1/2 each group is 2/3, and 3 contains 4 full groups and half of another.

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