SOLUTION: The value of a fraction is 4/3 and its numerator is 8 more than its denominator. Find the fraction.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: The value of a fraction is 4/3 and its numerator is 8 more than its denominator. Find the fraction.      Log On


   

Question 1069905: The value of a fraction is 4/3 and its numerator is 8 more than its denominator. Find the fraction.
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+4%2F3+=+%28+x%2B8+%29%2Fx+
Multiply both sides by +3x+
+4x+=+3%2A%28+x%2B8+%29+
+4x+=+3x+%2B+24+
+x+=+24+
and
+x+%2B+8+=+32+
The fraction is 32/24
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check:
+32%2F24+=+%28+8%2A4+%29+%2F+%28+8%2A3+%29+
+32%2F24+=+%288%2F8%29%2A%284%2F3%29+
+32%2F24+=+4%2F3+
OK