Answered

The denominator of a fraction is 3 more than the numerator. If one is subtracted from both numerator and denominator, the resulting value has a value of 1/2. Find the original fraction.

Sagot :

Numerator: x
Denominator:  x + 3

Equation:

  x - 1        =   1  
  x+3 - 1         2

x - 1    =    1  
x + 2         2

2 (x - 1) = 1 (x + 2)
2x - 2 = x + 2
2x - x = 2 + 2
x = 4

Numerator: x = 4
Denominator: x + 3 = 4 + 3 = 7

The original fraction is 4/7.

Check:
4 - 1    = 1/2
7 - 1

3  = 1/2
6

1/2 = 1/2