So which fraction is bigger?
If both fractions had the same denominator, we could tell straight away which was bigger. So we need to find equivalent fractions for 2 denominator.
– 3 and 5
What is the lowest common multiple (LCM) of 3 and 8? 3: 3, 6, 9, 12, 15, 18, 21, 24, 27 8: 8, 16, 24, 32, 40, 48, 56, 64 24 is the LCM.
– 3 = 16
2 So 2
– 3 is bigger than 5
– 8.
1. Work out which fraction in each of these pairs of fractions is bigger. Change the pairs of fractions so that they have the same denominators to help you.
a) 1 d) 5
– 2 and 4
– 7
– 6 and 9
__ 10
b) 2 e) 5
– 5 and 1
– 3
– 8 and 7
Which of these 3 fractions is the smallest? 3
– 4
4: 4, 8, 12, 16, 20, 24, 28, 32, 36 6: 6, 12, 18, 24, 30, 36, 42, 48 8: 8, 16, 24, 32, 40, 48, 56, 64
– 4 = 18
__ 24
– 6 = 20
5
__ 24
5
__ 10
c) 3 f) 3
– 4 and 2
– 3
– 8 and 5
__ 12
__ 24
– 8 = 15
5
__ 24
– 8 that have the same
– 6
5
– 8
5 Now you have to find a common multiple for the 3 denominators. LCM = 24
Make equivalent fractions for each of the 3 fractions with the common multiple as their denominator and then see which fraction is the smallest. 3
– 8 = 15
__ 24
2. Work out which fraction in each of these sets of fractions is the smallest. Find a common multiple for each of the denominators and then make equivalent fractions with the common multiple as the denominator.
a) 1
– 3, 2
d) 7 __
– 5, 3
12, 2
__ 10
– 3, 3
– 4
b) 3 e) 1
– 4, 5
– 4, 3
– 6, 5
– 8
– 5, 3
__ 10
c) 1 f) 7
– 2, 7
__ 10, 3
– 8, 11
__ 12, 5
– 5
– 6
58
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