Question

What is -2 1/2 + 1 1/3 in fraction form?

Answer 1

`-2(1)/(2) +1(1)/(3)=(-1)/(6)`

Solution:

Given expression is
`-2(1)/(2) +1(1)/(3)`.

Let us first convert mixed fraction into improper fraction.

`-2(1)/(2) +1(1)/(3)=((-2* 2) +1)/(2) +((1* 3) + 1)/(3)`

`=(-4 +1)/(2) +(3 + 1)/(3)`

`=(-3)/(2) +(4)/(3)`

Take LCM for the denominators (LCM of 2, 3 = 6) and make the same.

`=(-3*3)/(2*3) +(4*2)/(3*2)`

`=(-9)/(6) +(8)/(6)`

`=(-1)/(6)`

`-2(1)/(2) +1(1)/(3)=(-1)/(6)`

Hence the fraction form of
`-2(1)/(2) +1(1)/(3)` is
`(-1)/(6)`.