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Question
Arrange the fractions `6/7, 7/8, 4/5` and `3/4` in descending order.
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Solution
We have given, `6/7, 7/8, 4/5` and `3/4`.
The L.C.M. of 7, 8, 5 and 4 is 2 × 2 × 2 × 5 × 7 = 280
| 2 | 7, 8, 5, 4 |
| 2 | 7, 4, 5, 2 |
| 2 | 7, 2, 5, 1 |
| 5 | 7, 1, 5, 1 |
| 7 | 7, 1, 1, 1 |
| 1, 1, 1, 1 |
Now, `6/7 = (6 xx 40)/(7 xx 40) = 240/280`,
`7/8 = (7 xx 35)/(8 xx 35) = 245/280`,
`4/5 = (4 xx 56)/(5 xx 56) = 224/280` and `3/4 = (3 xx 70)/(4 xx 70) = 210/280`
On comparing the above, we get;
`245/280 > 240/280 > 224/280 > 210/280`
i.e., `7/8 > 6/7 > 4/5 > 3/4`
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