Question 1064373

A fraction has a value of 3/4. If 4 is added to its numerator and 8 is subtracted to its denominator. The value of the resulting fraction is 1. What is the original fraction. Show linear equation.
<pre>Let multiplicative factor be x
Then original fraction = {{{3x/(4x)}}}
Adding 4 to the numerator, and subtracting 8 from the denominator results in: {{{(3x + 4)/(4x - 8) = 1}}}
4x - 8 = 3x + 4 ------- Cross-multiplying
4x - 3x = 4 + 8
x, or multiplicative factor = 12
Numerator: 3(12) or 36
Denominator: 4(12) or 48
{{{highlight_green(matrix(1,3, Original, "fraction:", 36/48))}}}