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  6 4/5 feet tall. One year later it was  1 3/8 feet taller. How tall is my tree now?

6 4/5 + 1 3/8 = 8 7/40

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. Which expression could be used to find the total length of her book?

25 +  1/8         25 -  1/8 

25 x  1/8          25 /  1/8 

25 /  1/8 

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

4 1/2 * 3 1/2

15 3/4 

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?

3/4 of a mile

300

When mixing gas for a 2 stroke engine, you add  2/3 of a quart of oil to 1 gallon of gasoline. If I have  3 1/2 gallons of gasoline in a can, how many quarts of oil should I add?

2 1/3

400

Which expression is the best estimate of the value of the following expression?

 3 1/5 + 1/8 + 6/7 

a. 3 + 0 + 1

b. 3 + 1/2 + 1/2

c. 4 + 1/2 + 1

a. 3 + 0 + 1

3 1/5 + 1/8 + 6/7

400

I am getting new carpet for a closet in my house. The closet is 6 1/2 feet wide and 4 feet long. How much carpet do I need?

26 feet 2

6 1/2 * 4

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. When the hail begins,   3/5 of the people who are still there leave. How many people are still watching the game?

1/4 * 100 = 25

100 - 25 = 75

75 * 3/5 = 45

75-45 = 35

30 people

400

2 1/2 * 3 1/3

8 1/3

400

Which equation could be used to check this equation?

 1/5 / 3=1/15 

a. 3 /  1/15        b. 3 /  1/5 

c. 3 * 1/5         d.  3 * 1/15 

3 * 1/15 = 3/15 = 1/5

500

Put the following expressions in order from least to greatest:

 1 * 5 

1/3 * 5

2 * 5

 2/3 * 5 

1/3 * 5

2/3 * 5

1 * 5 

2 * 5

500

While walking the dog, Kate passes the Roxbury and the gas station on her way to the park. The Roxbury is  3/4 mile from her house. The park is  2 1/2 miles from her house. If the gas station is 5/6 of a mile closer than the park, how far is the gas station from her house?

 1 2/3 miles

500

What is the value of  x ?

4 1/2 - x = 3 1/4

1 1/4

500

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

8 feet


500

The dual classes are having an ice cream party.

In yellow class, each group of 8 students eats  1 1/2 cartons of ice cream. If there are 24 students in yellow class, how much ice cream does yellow class need?

In blue 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 blue class?

Yellow Class needs

4 1/2

cartons of ice cream

Blue class needs

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

cartons of ice cream.

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