x = Denominator
nominator = x - 3
( x - 3 + 5 ) / ( x + 5 ) = 3 / 4
( x + 2 ) / ( x + 5 ) = 3 / 4
4 ( x + 2 ) = 3 ( x + 5 )
4 x + 8 = 3 x + 15
4 x - 3 x = 15 - 8
x = 7
Denominator = 7
The numerator is 3 less than the denominator.
Numerator = 7 - 3 = 4
original fraction = 4 /7
Proof :
( 4 + 5 ) / ( 7 + 5 ) = 9 / 12 = 3 * 3 / ( 3 * 4 ) = 3 / 4
The numerator of a fraction is 3 less than the denominator. If 5 is added to the numerator and the denominator, the value of the resulting fraction becomes 3/4. What is the original fraction?
1 answer