Mixed Numbers & Improper Fractions
Convert this mixed number into an improper fraction
2 and 2/3
8/3
rewrite the following in it's simplified form:
4/16
1/4
To make a fruit salad, Becca used 2 and 2/5 cups of strawberries and 3 and 1/2 cups of grapes. How many cups of fruit did Becca use in all?
5 and 9/10 cups
Convert this mixed number into an improper fraction
4 and 1/4
17/4
rewrite the following in it's simplified form:
9/27
1/3
Mrs. Smith bought 3 and 1/2 yards of yellow fabric. She used 2/3 of the fabric to make a chicken costume. How much fabric did she use?
Remember- 'She used 2/3 of the fabric (or 2/3 of 3 and 1/2) so the equation is 2/3 X 3 and 1/2 =
2 and 1/3 yards of fabric
or
14/6 yards of fabric
Camille's Bakery sold 6 and 1/3 batches of blueberry muffins and 7 and 1/4 batches of banana muffins. How many batches of muffins were sold in all?
13 and 7/12 batches
Convert this improper fraction into a mixed number
17/5
3 and 2/5
Julie studied for 3 and 1/3 hours during the 4 days before her last math test. If she studied for the same amount of time each day, how much time did she spend studying each day?
10/3 divided by 4=
10/3 X 1/4 =
10/12 of an hour
or
5/6 of an hour
or
50 minutes
Jax found a worm that measured 5 and 1/8 inches. He dug up another worm that measured 3 and 5/8 inches. How much longer was the first worm?
3/2
or
1 and 1/2 inches
Convert this improper fraction into a mixed number:
200/ 2
100
solve and simplify your answer:
1/7 + 4/21
1/3
An aquarium holds 6 and 1/4 gallons of water. The water level dropped to 4/5 of this amount. How much water should be added to full the aquarium?
remember- "4/5 of this amount (or 4/5 of 6 and 1/4 gallons)
so 4/5 X 6 and 1/4 = 5
BUT that is telling you what is in the aquarium. The question asked "how much water should be added?" so 6 and 1/4 - 5= 1 and 1/4 gallons should be added.
Sean used 3/4 cup of sugar to make a dozen brownies. How many sugar is in each brownie?
3/4 divided by 12=
3/4 X 1/12=
3/48 or 1/16 a cup of sugar in each brownie.
Solve:
2 and 3/8 + 15/4 =
49/8
solve and simplify your answer
6/8 - 1/2=
1/4
A piece of plywood 24 inches wide is cut into strips 2 and 1/2 inches wide. How many strips of this width can be cut?
24 divided by 2 and 1/2 =
24 divided by 5/2=
24/1 X 2/5 = 9 and 3/5
so 9 whole strips can be cut
A gasoline pump delivers 4 and 2/5 gallons of gas per minute. How many minutes will it take to fill a gas tank that holds 16 and 1/2 gallons?
16 and 1/2 = 33/2
4 and 2/5 = 22/5 so
33/2 divided by 22/5 = 33/2 X 5/22= 165/44=
15/4 or 3 and 3/4 minutes to fill the tank