Question #3a359

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Answer 1 · 2017-12-15T02:09:16

The sum is #17 23/84#.

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#.