Question

What is (3/4-2/3)+(1/2+1/3)?

Answer 1

`Answer=11/12`

Explanation:

First we are gonna take L.C.M of `4` and `3` which is `12` and then take L.C.M of `2` and `3` that is `6`.
`=(3/4-2/3)+(1/2+1/3)`
`=((3*3)/(4*3)-(2*4)/(3*4))+((1*3)/(2*3)+(1*2)/(3*2))`
`=((9-8)/12)+((3+2)/6)`
`=1/12+5/6`
Now what we are gonna do is taking L.C.M of `12` and `6` that is `12`
`=1/12+(5*2)/(6*2)`
`=1/12+10/12`
`=(1+10)/12`
`=11/12`