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

2 Answers

6 votes
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 !

User Varun Mathur
by
6.9k points
2 votes
6*6= 36
7*6- 42

36+42= 78.

The fraction is 36/42.
User ReDEyeS
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7.4k points