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

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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)

User Vikas Kandari
by
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