The fraction that's equivalent to 6/7. The sum of the numerator and the denominator is 78. What is the fraction?

Let x be the factor that both the numerator and denominator are multiplied by to have an equivalent fraction.

so 6x/7x is 6/7

then

6x+7x=78

13x=78

x=78/13

x=6

therefore the fraction is (6*6) / (7*6) or 36/42

check: 36+42=78!

6*6 = 36

7*6 - 42

36+42 = 78.

The fraction is 36/42.