Question

Which ratio is large in the following pairs? i) 12:36 or 30:40 ii) 7:35 or 15:35 iii) 64:56 or 18:12

Answer 1

1. 30/40
2 15:35
3 18:12

Answer 2

i) The Number 12/36 can be written as 1/3
because (1/3)(12/12)=12/36
and 1/3 can be written as (1/3)(4/4)=4/12

similarly 30/40=(3/4)(10/10)
=3/4
=(3/4)(3/3)=9/12

Here 9/12>4/12
so 30/40>12/36

ii) 15/35>7/35

iii)64/56=8/7=1.14

and 18/12=3/2=1.5

as 1.5>1.14

So....
18/12>64/56