Common Denominators & Equivalent Fractions

Addition

Subtraction

Simplify

*Mystery*

100

Find the __smallest possible__ **common denominator** for the fractions below:

1/2 2/8

8

100

Find the sum. Simplify if possible.

1/2 + 3/8

7/8 (Cannot simplify)

100

Find the difference. Simplify if possible.

6/7 - 3/14

9/14 (Cannot simplify)

100

Write in simplest form.

2/4

1/2

100

True or False:

This equation is correct.

5/12 + 2/10 = 7/22

False

200

Find the __smallest possible__ **common denominator** for the fractions below:

3/5 1/4

20

200

Jeffrey walked 1/3 mile on Monday and jogged 3/9 mile on Tuesday. How far did he walk and jog on Monday and Tuesday combined? Write your answer in simplest form.

2/3 mile (6/9 simplified - divide both numbers by 3.)

200

Tom studied for 5/6 hour on Wednesday and 4/5 hour on Thursday. How much longer did Tom study on Wednesday? Simplify if possible.

1/30 hour (Cannot simplify.)

200

Write in simplest form.

8/12

2/3 (Divide both numbers by 4.)

200

Write 2/5 and 1/3 as equivalent fractions using a common denominator.

6/15 5/15

300

Write an **equivalent fraction for each fraction** below. Use the__ smallest common denominator__ possible.

7/9 1/12

28/36 3/36

300

Find the sum. Write in simplest form.

1 5/6 + 2 7/8

4 17/24 (Cannot simplify)

300

Mr. Clements painted his barn for 3 3/5 hours in the morning. He painted the barn for 5 3/4 hours in the afternoon. How much longer did he paint in the afternoon? Simplify if possible.

2 3/20 hours (Cannot simplify)

300

Write in simplest form.

12 / 96

1/8 (Divide both numbers by 12.)

300

Convert this improper fraction to a mixed number. Write in simplest form.

125/12

10 5/12

400

Write an **equivalent fraction for each fraction** below. Use the__ smallest common denominator__ possible.

2/17 5/51

6/51 5/51

400

Jill brought 2 1/3 boxes of carrot muffins for a bake sale. Mike brought 1 3/4 boxes of apple muffins. What is the total number of boxes of muffins Jill and Mike brought to the bake sale?

Simplify if possible.

4 1/12 boxes of muffins (Cannot simplify)

400

Find the difference. Write in simplest form.

2 1/3 - 1 3/4

7/12 (Cannot simplify)

400

Write in simplest form.

36 / 108

1 / 3 (Divide by 36.)

400

Rodrigo practiced playing his guitar for 15 1/3 hours over the past 3 weeks. On the first week, he practiced for 4 2/3 hours. On the second week, he practiced for 6 1/4 hours. How many hours did he practice during the third week?

Simplify if possible.

4 5/12 hours

500

Write an **equivalent fraction for each fraction** below. Use the__ smallest common denominator__ possible.

25/156 12/52

25/156 36 /156

500

Mr. Cohen drove 84 1/5 miles on Tuesday, 84 6/10 miles on Wednesday, and 85 miles on Thursday. How many total miles did Mr. Cohen drive over these 3 days? __Write your answer in simplest form.__

253 4/5 miles (8/10 is simplified to 4/5.)

500

Find the difference. Write in simplest form.

5 2/3 - 2 24/27

2 7/9 (Simplified from 2 21/27)

500

Write in simplest form.

85 / 136

5/8 (Divide both numbers by 17.)

500

Kelly's teacher asked her to find equivalent fractions for 2/16 and 2/5. Kelly says there is no common denominator for the fractions. Is Kelly correct or incorrect? Explain.

Kelly is correct, because ____.

Kelly is incorrect, because ____.

Kelly is incorrect, because there IS a common denominator for both 16 and 5. 80 is a common denominator of 16 and 5. (16 x 5 = 80).