Question

What is -7 2/3 + (-5 1/2) + 8 3/4

Answer 1

Hey there :)


`-7 (2)/(3) = - (23)/(3)`

`-5 (1)/(2) = -(11)/(2)`

`8 (3)/(4) = (35)/(4)`


`- (23)/(3) - (11)/(2) + (35)/(4)`

We need to change all fractions to have a common denominator

Lets see:
Multiples of 2: 2 , 4 , 6 , 8 , 10 , 12
Multiplies of 3: 3 , 6 , 9 , 12
Multiplies of 4: 4 , 8, 12

The common denominator is 12
2 x 6 = 12
3 x 4 = 12
4 x 3 = 12

=
`-(23(4))/(3(4)) - (11(6))/(2(6)) + (35(3))/(4(3))`
=
`- (92)/(12) - (66)/(12) + (105)/(12)`

We need to add the numerators while keeping the same denominator
=
`- (53)/(12)`
=
`-4 (5)/(12)`