Fractions
Fraction Operations
Fraction Operations 2
Fraction Operations 3
Equivalency
100

Which number could be used as a common denominator to solve this problem?

4/5 - 1/3

15

100

What is the sum?

1/3 + 1/3 + 1/6

5/6

100

Zach has  11/12  of a carton of ice cream in his freezer. He eats  3/8  of the carton in one sitting. How much ice cream does he have left?

11/12 - 3/8

22/24 - 9/24

13/24 of the carton

100

I bought a tree that was 2/5 metres tall. One year later it was  3/8 metres taller. How tall is my tree now?

2/5 + 3/8 = 31/40 metres

100

Write the mixed number as an improper fraction:


3 5/8

3 5/8 = 29/8

200

There are 135 gift bags, 9 favors are being placed into each one. The fraction  135/9 can be used to find the number of favors in each bag. Which expression is equivalent to this fraction?

135 /  9

135 * 9

135 + 9

135 - 9

135 / 9

200

Rebecca is reading a book. She has read 25 pages of the book. That is  1/8 of the total length of the book. How many total pages are in the book? 

Hint: Use a picture to help you solve. 

200 pages

200

I have one yard of fabric. If I use 2/5 of it to make a craft. How much fabric is left?

1 - 2/5 = 3/5

200

Autumn ran  3/5 of a mile and Eli ran  3/10  of a mile. Write and solve an expression which shows how much further Autumn ran than Eli.

3/5 - 3/10 =

6/10 - 3/10 =

3/10

200

Write the fraction greater than one as a mixed number:

14/3

14/3 = 4 2/3

300

Write the equation which is represented by the orange and blue segments of this model?

a. 1/5 + 1/5 = 2/5 

b.  1/3 + 1/6 = 1/2 

c.  2/5 + 1/5 = 1/2 

b. 

1/3 + 1/6 = 1/2

300

3/5 x 2/3 =

6/15

300

5/8 * 4/9

20/72 = 5/18

300

Morgan rides a bike 3 1/2 miles to school each day and Sofie rides a bike 2 3/4 miles each day. How much longer is Morgan's ride than Sofie's?

Hint: Change both fractions into improper fractions before subtracting them.

3/4 of a mile

300

Name 3 equivalent fractions for 3/5.

Possible answers:

6/10

9/15

12/20

15/25


400

Solve the following equation. 

 1/5 + 6/7 



37/35 or 1 2/35

1/5 +  6/7

400

I am getting new carpet for a closet in my house. The closet is  5/2 metres wide and 2 metres long. How much carpet do I need?

10 metres 2

5/2 * 4/1

400

There are 100 people watching a soccer game. When it starts to rain,  1/4  of the people go to their cars to watch. How many people are still watching the game?

1/4 * 100 = 25

100 - 25 = 75 

400

5/8 * 3/4

15/32

400

Which expression(s) have a product of 4? The product is the answer to a multiplication problem.

a. 1/2 of 8                    d. 1/4 of 20

b. 3/4 of 12                  e. 2/5 of 10

c. 2/3 of 6                    


a 1/2 of 8

c. 2/3 of 6

e. 2/5 of 10

500

The Smith family is driving to a park that is 80 miles away. So far, the family has driven 1/4 of the distance. How many miles have they driven? 


 

80/4 miles or 20 miles

500

3/8 + 6/7

 

69/56 = 1 13/56

500

What is the value of the following expression?

10/8 - 3/5

26/40 = 13/20

500

My new garden box has an area of 4 square metres. If it is  1/2 metres wide, what is the length of my new garden box?

Hint: Draw a model to help solve, this is a division problem. 

8 feet


500

The 7th grade team is having an ice cream party.

In Mr. Green's class, each group of 3 students eat  1/2 cartons of ice cream. If there are 24 students in the class, how much ice cream does Mr. Green's class need?

In Mrs. White's class, each student eats 1/6 of a carton of ice cream. There are 20 students, how many cartons of ice cream are needed for Mrs. White's class?

Mr. Green's class needs

4

cartons of ice cream.

Mrs. White's class needs

20/6 = 3 2/6 = 3 1/3

cartons of ice cream.