Question

Arrange the given fraction in descending order by making numerator equal:

`5/6, 4/15, 8/9  "and"  1/3`

Answer 1

`5/6, 4/15, 8/9  "and"  1/3`

L.C.M. of numerators 5, 4, 8 and 1 = 40

`therefore 5/6 = (5 xx 8)/(6 xx 8) = 40/48`

`4/15 = (4 xx 10)/(15 xx 10) = 40/150`

`8/9 = (8 xx 5)/(9 xx 5) = 40/45`

`1/3 = (1 xx 40)/(3 xx 40) = 40/120`

From above we see that

`40/45 > 40/48 > 40/120 > 40/150`

∴ `8/9 > 5/6 > 1/3 > 4/15`

Hence, `8/9, 5/6, 1/3, 4/15` are in descending order.