Question

Which is greater, `3/5` or `7/10` and by how much?

Answer 1

Taking the cross-multiplication, we get

3 × 10 = 30 and 7 × 5 = 35

Since, 3 × 10 (i.e. 30) is smaller than 7 × 5 (i.e. 35)

`therefore 3/5 < 7/10`

Difference between `7/10` and `3/5`

`=> 7/10 - 3/5` (∵ L.C.M. of 10 and 5 = 10)

`=> (7 xx 1)/(10 xx 1) - (3 xx 2)/(5 xx 2)`

`= (7 - 6)/10 = 1/10`

`therefore 7/10` is greater than `3/5` by `1/10`