Models
Word Problems
Multiplying Fractions
Dividing Fractions by Whole Numbers
Dividing Whole Numbers by Fractions
100
Write a multiplication equation that this model represents.
1/3 x 1/8
100
Dean buys 1/5 of a pound of Halloween Candy. He decides to split it with three friends. How many pounds of candy did they each get?
1/20 lb
100
Multiply
4 x 1/5
4/5
100
An apple weighs 1/4 pound. Kaiya cuts the apple into 8 equal pieces. How many pounds does each piece of the apple weigh?
1/32
100
2 ÷ 1/2
4
200
Write a multiplication expression and a division expression to match the diagram.
1/8 ÷ 4 = 1/32
1/8 x 1/4 = 1/32
200
A floor is covered in 12 tiles that each measure 3/2 feet by 3/2 feet. What is the area of the floor?
108/4 ft or 27 ft
200
Multiply
2/8 x 4
8/8
200
Dividing Fractions
1/30 ÷ 5
1/150
200
15 ÷ 1/4
60
300
Write a multiplication expression that would match the model. Solve. 
5/4 x 5/6 = 25/24
300
Hendrix has a strip of paper that is 322 feet long. He cuts it into 1/4 foot strips to make paper airplanes.How many 1/4 foot strips does Hendrix make?
80 1/2 strips or 161/2 strips
300
Multiplying
6/5 x 7/8
42/40 or 1 1/20
300
440 meters is 1/4 of the way around the race track. How far is it around the whole race track?
1760 meters
300
23 ÷ 1/9
207
400
Write a division and multiplication expression that would be represented by this diagram
1/5 ÷ 3 = 1/15
1/5 x 1/3 = 1/15
400
A bottle holds 156/5 cups of water. Fade drank 3/5 of the bottle of water after recess. How many cups of water is that? Explain or show your reasoning.
18 18/25 cups or 468/5 cups
400
Multiply
9/4 x 13/7
117/28 or 4 5/28
400
Dividing Fractions
6/14 ÷ 23
Tessa has 63/14 lb of chicken nuggets to give to our class of 25 students. How many lbs of chicken nuggets does each student get?
63/210 lb or 3/10 lb
400
37 ÷ 1/26
936
500
Draw a model to represent 3/4 x 7/5
500
Charlotte and Graham decide to buy a rectangular farm. It is 2 km long and 3 km wide. The farm is divided into 5 equal parts. They keep all their bunnies in one of those parts. What is the area of the part of the farm where the bunnies are?
6/5 km or 1 1/5 km.
500
Multiplying Fractions
25/42 x 5/15
125/630 or 25/124
500
Dividing Fractions
10/12 ÷ 427
10/5124 or 5/2562
500
42 ÷ 4/29
304 1/2 or 1218/4