Adding Fractions If Helen spent 1
– 5 of her money on sweets and used 1
– 3 of her
money to buy a book, what fraction of her money did she spend?
Remember: you can only add fractions that have the same denominator. If the fractions don’t have the same denominator, you can make equivalent fractions with the same denominator and then add.
5: 5, 10, 15, 20, 25 3: 3, 6, 9, 12, 15, 18 The LCM is 15.
Now make equivalent fractions with the LCM as the denominator: 1
– 5 = 3
Now add the 2 fractions: 3
__ 15 + 5
__ 15 = 8
__ 15
__ 15, so Helen spent 8
– 3 = 5
1
__ 15
__ 15 of her money.
1. Now try these. a) 1 f) 2
– 2 + 1
– 5 + 1
– 7
– 4
Joe ran for 4
b) 2
– 5 + 3
g) 5 __
__ 10
12 + 1
– 3
c) 1
– 3 + 1
h) 1 __
– 4
10 + 3
– 4
i)
kilometre. How far did he go altogether? 4
– 5 + 2
– 5 = 6
– 5
If your answer is an improper fraction, what can you do with it? Now what would your answer be?
d) 1 3
– 9 + 1
– 6
– 5 + 3
– 5 of a kilometre and then walked a further 2
– 5 of a
__ 10
e) 3
– 8 + 1
– 6
2. Add these fractions and if your answer is an improper fraction, change it to a mixed number.
a) 2 f) 3
– 3 + 3
– 8 + 5
– 4
– 6
b) 3 g) 4
– 5 + 3
– 4
– 5 + 7
__ 10
c) 5 h) 3
– 6 + 3
– 4
– 8 + 7
__ 10
d) 5 7
i)
– 8 + 2
– 3
– 8 + 7
__ 12
Fractions 1 e) 7
– 9 + 5
– 6
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