say123swag
say123swag say123swag
  • 16-10-2016
  • Mathematics
contestada

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

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CreativePage
CreativePage CreativePage
  • 16-10-2016
6*6= 36
7*6- 42

36+42= 78. 

The fraction is 36/42.
Answer Link
mrpont4math
mrpont4math mrpont4math
  • 16-10-2016
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 !

Answer Link

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