Equivalent Fractions
Use common denominators to make equivalent fractions out of the following:
5/7 and 4/9
45/63, 28/63
Find the sum. Show your answer in simplest form.
1/6 + 1/2
2/3
Find the difference.
1/4 - 1/8
1/8
Find the sum. Give your answer in simplest form.
2 6/10 + 1 3/5
4 1/5
Find the difference. Give your answer in simplest form.
8 1/4 - 2 7/8
5 3/8
Use common denominators to make equivalent fractions out of the following:
2/3, 5/12
8/12, 5/12
24/36, 15/36
Find the sum. Show your answer in simplest form.
2/3 + 2/5
1 1/15
Find the difference.
6/7 - 1/2
5/14
Find the sum. Give your answer in simplest form.
1 7/8 + 5 1/4
7 1/8
Find the difference. Give your answer in simplest form.
4 1/8 - 1 1/2
2 5/8
Explain any mistakes in the renaming of the fractions below and show the correct renaming:
3/4 = 9/12
2/3 = 6/12
6/12 is incorrect; the numerator 2 was multiplied by 3 instead of 4.
Jim measured the length of two crickets. One was 5/8 inches long; the other was 1/4 inches long. How long were the crickets from end to end?
7/8 inch
Find the difference. Give your answer in simplest form.
2/9 - 1/6
1/18
Find the sum. Give your answer in simplest form.
2 7/12 + 1 3/4
4 1/3
Find the difference. Give your answer in simplest form.
6 1/3 - 2 3/5
3 11/15
For keeping business records, every three months of a year is called a quarter. How many months are equal to three-quarters of a year?
9 months
3/4 = three quarters
12 months = 1 year
4x3 = 12; 3x3 = 9
Bruce swam 7/10 mil to the first raft and 4/40 mile to the second raft. How far did Bruce swim? Show your answer in simplest form.
4/5 mile
Paul's dad made a turkey pot pie for dinner on Wednesday. The family ate 1/2 of the pie. On Thursday after school, Paul ate 2/16 of the pie for a snack. What fraction of the pie remained? Give your answer in simplest form.
3/8
Tori is making muffins. The recipe calls for 2 5/6 cups of brown sugar for the muffins and 1 1/3 cups of brown sugar for the topping. Tori has 4 cups of brown sugar. Does she have enough for both the muffins and the topping?
No; she will need 4 1/6 cups and she only has 4 cups.
Jenna bought a spool of ribbon for her craft projects in contained 5 3/4 meters of ribbon. She used 3 2/5 meters of ribbon for a project. How many meters of ribbon does Jenna have left?
2 7/20
Phil baked two kinds of pies. Each pie pan was the same size. He served 1/2 of the blueberry pie. He served 1/4 of the apple pie. If each pie had 8 pieces to start, what fraction in eighths of the apple pie did he serve? How many more ieces of the blueberry pie than the apple pie did he serve?
2/8; 2 more pieces
Lee walked 3/4 mile to the library and 2/10 mile to his friend's house. How far did Lee walk? Show your answer in simplest form.
19/20 mile
Eva had 7/8 gallon of paint. Her brother Ivan used 1/4 gallon to paint his model boat. Eva needs at least 1/2 gallon to paint her bookshelf. Did Ivan leave her enough paint?
Yes, he left 5/8. 5/8 is greater than 1/2.
Find the sum. Give your answer in simplest form.
2 2/3 + 1 5/6 + 3 3/4
8 1/4
The average weight of a basketball is 21 1/10 ounces. The average weight of a baseball is 5 1/4 ounces How many more ounces does the basketball weigh?
15 17/20 ounces