Question

Arrange the fractions `6/7, 7/8, 4/5` and `3/4` in descending order.

Answer 1

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`