Fractions as Equations
Multiplying To Divide
Word Problems
Dividing Whole Numbers By Fractions
Dividing Fractions By Whole Numbers
100

½ 

Is equal to

1÷2= ½

100

⅓÷⅕

Is equal to what multiplication equation

⅓x⁵⁄₁=

100

Bill bought some cans of paint and 1/2 of a liter of special paint additive formulated to reduce mildew. Before painting his house, he used all of the additive to put 1/10 of a liter of additive in each can. How many cans of paint did Bill buy?

5 Cans of paint

100

3÷⅓=

3÷⅓= 9

100

½÷2=

½÷2=¼

200

¾

Is equal to 

3 ÷ 4= ¾

200

⅝÷¼

Is what multiplication equation

⅝x⁴⁄₁

200

A fancy restaurant put dishes of butter at each table. They divided 1/3 of a kilogram of butter evenly to put 1/6 of a kilogram in each dish. How many butter dishes did they fill?

2 dishes

200

4÷⅕=

4÷⅕=20

200

⅓÷3=

⅓÷3=⅑

300

¼ + ¼=x

x is equal to

x= 2÷4

OR

x= 1÷2

300

²⁄₇÷⅘

Write as a multiplication problem then solve

²⁄₇x⁵⁄₄=⁵⁄₁₄

300

Seth divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. He put 1/8 of a liter into each bottle. How many smaller bottles did Seth fill?

4 bottles

300

7÷⅐=

7÷⅐=49

300

⅙÷4=

⅙÷4=¹⁄₂₄

400

⅖x⅘= x

What is equal to x

x=8 ÷ 25

400

(⅖+⅖)÷²⁄₇

Turn the division into multiplication then solve

(⅖+⅖)x⁷⁄₂=2⅘

400

Ben has 2¾ liters of water in his water bottle he wants to share his water between him and his 5 friends. Exactly how much water does each friend get?

¹¹⁄₂₀ of a liter

400

12÷⅑=

12÷⅑=108

400

⁵⁄₁₂÷3=

⁵⁄₁₂÷3=⁵⁄₃₆

500

¾ ÷ ⅓= x

x is equal to what equation

 x = 9 ÷ 4

500

(¾÷½)÷⅖=

Turn into multiplication then solve

(¾x²⁄₁)x⁵⁄₂=3¾

500

Jeffery had 2¾ pounds of M&M'S he gave ½ of a pound to his friend. Now he has to pack them into ⅛ pound bags. How many bags can Jeffery fill?

18 bags of M&M'S

500

74÷⅙=

74÷⅙=444

500

⁵⁄₁₁÷(⅚÷6)=

⁵⁄₁₁÷(⅚÷6)=3³⁄₁₁