How do you add #7 4/9 + 10 2/9#?

1 Answer
Parabola
Apr 21, 2018

#17 2/3#

Explanation:

We can rewrite the problem as:

#7+4/9+10+2/9.# We reorganize this to get:

#7+10+4/9+2/9#

#=>17+4/9+2/9# Remember that:

#a/c+b/c=(a+b)/c# when #c!=0#

#=>17+(4+2)/9#

#=>17+6/9#

#=>17+2/3#

#=>17 2/3# That is the answer!
This works because both fractions had the same denominator.
You could have made the fractions improper, add the numerators, and then simplify the result.

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