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Question
Change the following groups of fractions to like fractions:
`5/6,7/8,11/12,3/10`
Solution
`5/6,7/8,11/12,3/10`
L.C.M. of denominators 6, 8, 12, 10 = 120
| 2 | 6, | 8, | 12, | 10 |
| 2 | 3, | 4, | 6, | 5 |
| 3 | 3, | 2, | 3, | 5 |
| 1, | 2, | 1, | 5 |
= 2 × 2 × 3 × 2 × 5 = 120
Now, `5/6=(5xx20)/(6xx20)=100/120;`
`7/8=(7xx15)/(8xx15)=105/120;11/12=(11xx10)/(12xx10)`
`=110/120;3/10=(3xx12)/(10xx12)=36/120`
∴ `5/6,7/8,11/12,3/10=100/120,105/120,110/120,36/120`
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