Adding Fractions
2/3 + 1/3 = ?
3/3 = 1
5/6 - 2/6 = ?
3/6 = 1/2
2/5 x 3/5
6/25
1/2 [/] 2/3
1/2 x 3/2 = 3/4
6/9 + 7/9 = ?
13/9 = 1 [4/9]
14/4 - 9/4 = ?
5/4 = 1 [1/4]
8/3 x 9/3
72/9 = 8
3/5 [/] 8/5
3/5 x 5/8 = 15/40 = 3/8
2/5 + 6/4 = ?
8/20 + 30/20 = 38/20 = 19/10
12/5 - 8/6 = ?
72/30 - 40/30 = 32/30 = 16/15
5/4 x 8/3
40/12 = 10/3
9/4 [/] 3/7
9/4 x 7/3 = 63/12 = 21/4
Mixed fraction = 5 [1/4]
9/12 + 5/6 = ?
9/12 + 10/12 = 19/12
OR SIMPLIFY FIRST:
3/4 + 5/6 = 18/24 + 20/24 = 38/24 = 19/12
7/3 - 24/7 = ?
49/21 - 72/21 = -23/21
12/3 x 7/8
84/24 = 42/12 = 21/6 = 7/2
7/4 [/] 10/12
7/4 x 12/10 = 84/40 = 42/20 = 21/10
Mixed fraction = 2 [1/10]
The zookeeper would like to know how many animals have already had breakfast.
3/12 zebras already ate, and 9/18 kangaroos already ate.
How many animals in total have already eaten?
3/12 + 9/18 = 9/36 + 18/36 = 27/36 = 9/12 = 3/4
OR SIMPLIFY FIRST:
3/12 + 9/18 = 1/4 + 1/2 = 1/4 + 2/4 = 3/4
Maria has 2/3 of a pizza left. She eats 1/6 of the leftover pizza. How much pizza does she have left?
To solve, find a common denominator (6), rewrite the fractions, and then subtract:
2/3 - 1/6 = 4/6 - 1/6 = 3/6 = 1/2. Maria has 1/2 of the pizza remaining.
Sarah baked a cake and used 1/2 of it for a party. If she had 3/4 of the cake left after the party, how much of the entire cake did she use?
1/2 x 3/4 = 3/8
Kaylee feeds each of her dogs 1/10 of a can of food each day. She uses a total of 1/5 of a can of food each day. How many dogs does Kaylee have?
1/5 [/] 1/10 = 1/5 x 10/1 = 10/5 = 2 dogs