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Question
Change the following groups of fractions to like fractions:
`2/7,7/8,5/14,9/16`
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Solution
`2/7,7/8,5/14,9/16`
L.C.M. of denominators 7, 8, 14, 16 = 112
| 2 | 7, | 8, | 14, | 16 |
| 7 | 7, | 4, | 7, | 8 |
| 4 | 1, | 4, | 1, | 8 |
| 1, | 1, | 1, | 2 |
= 2 × 7 × 4 × 2 = 112
Now, `2/7=(2xx16)/(7xx16)=32/112;7/8=(7xx14)/(8xx14)`
`=98/112;5/14=(5xx8)/(14xx8)=40/112;9/6`
`=(9xx7)/(16xx7)=63/112`
∴ `2/7,7/8,5/14,9/16=32/112,98/112,40/112,63/112`
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