What should be added to -15/8 to get -8/3

Question

Class 8, rational numbers

Answer 1

The answer is -19/24

 

x -15/8 = -8/3

 

Find the least common multiple of 8 and 3 to re-write the fractions. The LCM is 24.

-15/8 x 3/3 = -45/24

-8/3 x 8/8 = -64/24

 

x -45/24 = -64/24

x = -19/24

 

Checking the work:

-19/24 -15/8 [LCM =24]

-19/24 - 45/24 = -64/24

Both the numerator and denominator are divisible by 8. So the fraction reduces to -8/3