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3 years ago

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

Mathematics

2 answers:

a_sh-v [17]3 years ago

8 0

6*6= 36
7*6- 42

36+42= 78.

The fraction is 36/42.

shtirl [24]3 years ago

3 0

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 !

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