Question

How to simplify 12⅝-6⅞

Answer 1

`12(5)/(8)-6(7)/(8)=5(6)/(8)`

Solution:

Given expression is
`12(5)/(8)-6(7)/(8)`.

Let us first change mixed fraction into impoper fraction.

`12(5)/(8)-6(7)/(8)=((12*8)+5)/(8)-((6*8)+7)/(8)`

`=(96+5)/(8)-(48+7)/(8)`

Now, do the subtraction.

`=(101)/(8)-(55)/(8)`

`=(101-55)/(8)`

`=(46)/(8)`

`12(5)/(8)-6(7)/(8)=(46)/(8)`

Now, again make it as a mixed fraction.

`12(5)/(8)-6(7)/(8)=5(6)/(8)`

Hence the simplified form of
`12(5)/(8)-6(7)/(8)` is
`5(6)/(8)`.