Common Denominators & Equivalent Fractions
Find the smallest possible common denominator for the fractions below:
1/2 2/8
8
Find the sum. Simplify if possible.
1/2 + 3/8
7/8 (Cannot simplify)
Find the difference. Simplify if possible.
6/7 - 3/14
9/14 (Cannot simplify)
Write in simplest form.
2/4
1/2
True or False:
This equation is correct.
5/12 + 2/10 = 7/22
False
Find the smallest possible common denominator for the fractions below:
3/5 1/4
20
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.)
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.)
Write in simplest form.
8/12
2/3 (Divide both numbers by 4.)
Write 2/5 and 1/3 as equivalent fractions using a common denominator.
6/15 5/15
Write an equivalent fraction for each fraction below. Use the smallest common denominator possible.
7/9 1/12
28/36 3/36
Find the sum. Write in simplest form.
1 5/6 + 2 7/8
4 17/24 (Cannot simplify)
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)
Write in simplest form.
12 / 96
1/8 (Divide both numbers by 12.)
Convert this improper fraction to a mixed number. Write in simplest form.
125/12
10 5/12
Write an equivalent fraction for each fraction below. Use the smallest common denominator possible.
2/17 5/51
6/51 5/51
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)
Find the difference. Write in simplest form.
2 1/3 - 1 3/4
7/12 (Cannot simplify)
Write in simplest form.
36 / 108
1 / 3 (Divide by 36.)
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
Write an equivalent fraction for each fraction below. Use the smallest common denominator possible.
25/156 12/52
25/156 36 /156
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.)
Find the difference. Write in simplest form.
5 2/3 - 2 24/27
2 7/9 (Simplified from 2 21/27)
Write in simplest form.
85 / 136
5/8 (Divide both numbers by 17.)
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).