Find The Reciprocal
Vocabulary
Divide Whole Numbers by Fractions
Divide Fractions by Whole Numbers
Dividing Fractions Word Problems
100

Find the reciprocal of 1/5

5

100

The number in a division problem that you are splitting up (the first term in the division problem)

Divisor

100

1 ÷ 1/2

 2

100

5/8 ÷ 4

5/32

100
A chef had 7 potatoes. How many bowls of mashed potatoes could he make if each bowl used one-fifth of a potato?
What is 35 bowls?
200

Find the reciprocal of 1/8

8

200

The number that tells you how many parts to divide a number into (the second term in a division problem)

Dividend

200

3 ÷ 1/4

12

200

2 1/3 ÷ 3

7/9

200
A container of 7 metal beams weighed one-sixth of a ton. If every beam weighed the same amount, how heavy was each?
What is 1/42 tons?
300

Find the reciprocal of 6

 1/6

300

The answer to a division problem

Quotient

300

5 ÷ 1/3

15

300

3/4 ÷ 7

3/28 

300
A bulldozer could carry one-eighth of a ton of sand. If a park needed 3 tons of sand, how many loads would the bulldozer need to carry?
What is 24 loads?
400

Find the reciprocal of 2

1/2

400

The name of the number that is formed when the numerator and denominator in a fraction are switched

 reciprocal

400

4 ÷ 1/6

24

400
1/8 ÷ 6
What is 1/48?
400
A sub shop sold sandwiches that were one-half of a foot long. If you were to cut the sandwich into 9 equal pieces, what fraction of a foot would each piece be?
What is 1/18 foot?
500

Find the reciprocal of 3

1/3

500

This type of fraction has a numerator of 1, like 1/4 or 1/7, and represents one equal part of a whole.

Unit Fraction

500

7 ÷ 1/8

56

500

3 3/5 ÷ 5

18/25

500
Lana was trying to collect 4 pounds of cans to recycle. If she collects one-seventh of a pound each day, how many days will it take to collect 4 pounds?
What is 28 days?
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