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Question
Change the following groups of fractions to like fractions:
`1/3,2/5,3/4,1/6`
Solution
`1/3,2/5,3/4,1/6`
L.C.M. of denominators 3, 5, 4, 6 = 60
| 2 | 3, | 5, | 4, | 6 |
| 3 | 3, | 5, | 2, | 3 |
| 1, | 5, | 2, | 1 |
= 2 × 3 × 1 × 5 × 2 × 1 = 60
Now, `1/3=(1xx20)/(3xx20)=20/60`;
`2/5=(2xx12)/(5xx12)=24/60;3/4=(3xx15)/(4xx15)=45/60`
`1/6=(1xx10)/(6xx10)=10/60`
`1/3,2/5,3/4and1/6=20/60,24/60,45/60,10/60`
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