Basics
What we have to do before adding or subtracting fractions
Find common denominators
5 x 6/7
5 x 6/7 = 30/7 = 4 2/7
A chef had 6 1⁄6 pounds of carrots. If he later used 5 8⁄9 pounds in a recipe, how many pounds of carrots does he have left?
5/18
A bottle of home-made cleaning solution took 3 1⁄2 milliliters of lemon juice. If Tiffany wanted to make 2 1⁄2 bottles, how many milliliters of lemon juice would she need?
8 3/4
Downtown, 10 artists were painting a mural that was 59 feet long. If they split the canvas evenly, how much will each artist get to paint? Which two whole numbers does your answer lie between?
5 9/10
between 5 and 6
A common denominator for the following fractions would be...
3/5 and 2/7
35 is the common denominator
21/35 and 10/35
7/8 divided by 3/4
7/8 x 4/3 = 28/24 = 1 4/24 = 1 1/6
On Monday Jerry spent 3 1⁄8 hours studying. On Tuesday he spent another 3 1⁄3 hours studying. What is the combined time he spent studying?
155/24 = 6 11/24
Ms. H and Ms. E had 3/4 of a cake left from Ms. E's birthday. If they decided to share the remaining cake with themselves and 5 others, how much of the cake does each person get?
3/4 divided by 7 = 3/28
Ms. H needed 5 pieces of string for an experiment. Each piece of string must be exactly 7/12 inches long. If she cuts 3 inches, will she have enough string?
2 11/12 inches
Yes, she will have enough string! With 1/12 to spare!
How do we multiply fractions?
Multiply straight across!
8 1/2 + 4 2/3
51/6 + 28/6 = 79/6 = 13 1/6
Nancy's class recycled 2 1⁄4 boxes of paper in a month. If they recycled another 3 1⁄2 boxes the next month was is the total amount they recycled?
23/4 = 5 3/4
A teacher had 15 packages of paper she wanted to split equally into 2 piles. How much should be in each pile? Between what two whole numbers does your answer lie?
7 1/2
between 7 and 8
During a blizzard it snowed 3 6 ⁄8 inches. After a week the sun had melted 2 5 ⁄8 inches of snow. How many inches of snow is left?
9/8 = 1 1/8 inches
Rename the following fractions with common denominators three different ways:
1/2 and 3/5
5/10 and 6/10
10/20 and 12/20
15/30 and 18/30
5 2/4 - 2 1/2
5 1/2 - 2 1/2 = 3
For Halloween, Isabel received 8 1⁄7 pounds of candy. After a week her family had eaten 6 1⁄2 pounds. How many pounds of candy does she have left?
23/14 = 1 9/14
A blanket shop had 79 feet of fabric. If they wanted to use the fabric to make 9 blankets, each the same length, how long would each one be? Between what two whole numbers does your answer lie?
8 7/9
between 8 and 9
Bianca and her friend were seeing who could pick up more bags of cans. Bianca picked up 10 6 ⁄7 bags and her friend picked up 2 3 ⁄7 bags. How much more did Bianca pick up, then her friend?
59/7 = 8 3/7 bags
How do we divide by fractions?
To divide by a fraction here's a tip! Keep, Change, Flip!
( 1 1/2 + 4/7) x 3
87/14 = 6 3/14
Amy bought a bamboo plant that was 6 3⁄7 feet high. When she got it home she cut 3 2⁄9 feet off of it. How tall was the plant after she cut it down?
202/63 = 3 13/63
A bottle of sugar syrup soda had 1 3⁄4 grams of sugar in it. If Henry drank 2 full bottles and 1⁄4 of a bottle, how many grams of sugar did he drink?
3 15/16
A large box of nails weighed 7 2 ⁄4 ounces. A small box of nails weighed 6 6 ⁄9 ounces. What is the difference in weight between the two boxes?
30/36 = 5/6 ounces