SOLUTION: The numerator of a fraction is 6 less than the denominator. If the numerator is multiplied by 2 and the denominator remains unchanged, the resulting fraction is equivalent to 1/2.

Algebra ->  Real-numbers -> SOLUTION: The numerator of a fraction is 6 less than the denominator. If the numerator is multiplied by 2 and the denominator remains unchanged, the resulting fraction is equivalent to 1/2.       Log On


   

Question 182805: The numerator of a fraction is 6 less than the denominator. If the numerator is multiplied by 2 and the denominator remains unchanged, the resulting fraction is equivalent to 1/2. Find the original fraction.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = numerator
Let b= denominator
given:
a+=+b+-+6
%282a%29%2Fb+=+1%2F2
%282%2A%28b+-+6%29%29+%2F+b+=+1%2F2
%282b+-+12%29%2Fb+=+1%2F2
Multiply both sides by 2b
4b+-+24+=+b
3b+=+24
b+=+8
and
a+=+b+-+6
a+=+8+-+6
a+=+2
a%2Fb+=+2%2F8 answer