Question

6 / 712 / 15 which one is greater and how do I explain it

Answer 1

Greater fraction is

`(6)/(7)`

Explanation:

we are given two fractions

`(6)/(7)` and
`(12)/(15)`

First fraction:

`(6)/(7)`

Second fraction:

`(12)/(15)`

We can simplify it

`(12)/(15)=(3* 4)/(3* 5)`

`(12)/(15)=(4)/(5)`

To compare them , firstly we should make common denominator

denominators are 7 and 5

so, common denominator is

`=7* 5=35`

now, we can make each denominator as 35

`(6)/(7)=(6* 5)/(7* 5)`

`(6)/(7)=(30)/(35)`

`(4)/(5)=(4* 7)/(5* 7)`

`(4)/(5)=(28)/(35)`

`(12)/(15)=(28)/(35)`

so, we can see that both fractions have common denominator =35

and greater numerator is 30

so,

Greater fraction is

`(6)/(7)`