Question

Question #3a359

Answer 1

The sum is `17 23/84`.

Explanation:

There are several steps to solve it.

[1] First, divide the mix fractions into integer parts and proper fractions.
`9 6/7 =9+6/7`
`7 5/12=7+5/12`

Thus, the sum of the two fractions is
`9 6/7 + 7 5/12 =(9+6/7)+(7+5/12)`
`=16+6/7+5/12`

[2] Then, how we can find the sum `6/7+5/12` ?
They must be reduced to a common denominator.

As the least common multiple of `7` and `12` is `84`,
`6/7 = (6*12)/(7*12) = 72/84`
`5/12 =(5*7)/(12*7) = 35/84`

So,
`6/7 + 5/12 = 72/84 + 35/84 = 107/84 = 1 23/84`

[3] Finally we got to the goal.
`9 6/7 + 7 5/12 =16+6/7+5/12=16+ 1 23/84 = 17 23/84`.