Equivalent Fractions
Turn to a mixed number
5/4
1 1/4
In one week, an average giraffe sleeps for 7/12 days (sometimes less!). How much less sleep do giraffes get than humans, who sleep for 2 1/3 days in one week?
2 1/3 - 7/12
1/3 = 4/12
2 4/12 - 7/12
1 + 12/12 + 4/12 - 7/12
1 16/12 - 7/12 = 1 9/12 or 1 3/4
Turn to a mixed number:
5/3
1 2/3
Add the fractions: 1/4 + 2/8
1/2 or 4/8 or 16/32
Subtract the fractions: 9/14 - 3/7
3/14
On Monday, Joel ran 1/4 of a mile. On Tuesday he ran 1/3 of a mile. How far did Joel run in the 2 days? Write an equation that shows how far Joel ran.
1/4 + 1/3
Joel ran 7/12 of a mile.
Write two equivalent fractions for 5/10.
1/2, 10/20, 15/30, 20/40
Turn to a mixed number:
10/5
2
Add the fractions: 2/3 + 1/5
13/15
Subtract the fractions: 7/12 - 1/6
5/12
Kevin is baking brownies and needs peanuts. The recipe calls for 1 and 1/3 cups of peanuts. Kevin only has 4/6 of a cup of peanuts. How many more cups of peanuts does Kevin need to have the correct amount?
Hint: draw you 1 whole as a model with your 1/3 model.
1 1/3 - 4/6 =
1 2/6 - 4/6 =
1 = 6/6. So 6/6 + 2/6 = 8/6
8/6 - 5/6 = 3/6
Write two equivalent fractions for 3/4.
6/8, 9/12, 15/20, 18/24
Turn to a mixed number:
12/5
2 2/5
Add the fractions: 1/8+2/3
19/24
Subtract the fractions: 11/14 - 3/7
5/14
There is some cheese in the refrigerator. Tyrisha uses 1/3 of a pound to make sandwiches and Jackie uses 2/6 of a pound to make sandwiches. If there is now 2 1/2 pounds of cheese leftover, how much cheese was there before Tyrisha and Jackie used some?
2 1/2 + 1/3 + 2/6 =
1/2 + 1/3 = 3/6 + 2/6 = 5/6
5/6 + 2/6 = 7/6
2 + 7/6 = 2 7/6 or 3 1/6
Write two equivalent fractions for 1.
1/1, 2/2, 3/3, 4/4
Turn to a mixed number:
11/8
1 3/8
Add the fractions: 1/3 + 1/2 + 1/4
13/12 or 1 1/12
Subtract the fractions: 1 - 3/8
5/8
Mrs. Kennedy decided to paint her house and used 3 different colors. She used 3 and 1/8 gallons of blue paint, 4 and 1/2 gallons of red paint, and 2 and 3/4 gallons of yellow paint. How much paint did Mrs. Kennedy use altogether?
3 1/8 + 4 1/2 + 2 3/4 =
1/8 + 1/2 = 1/8 + 4/8 = 5/8
5/8 + 3/4 = 5/8 + 6/8 = 11/8
3 + 4 + 2 = 9 11/8
9 11/8 or 10 3/8