SOLUTION: The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by three, the simplified result is 19/20. Find the original fraction.
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Question 1157906: The denominator of a fraction is two more than the numerator. If both numerator and denominator are increased by three, the simplified result is 19/20. Find the original fraction. (Do NOT simplify.)
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the numerator be
given:
The fraction is
Multiply both sides by
and
----------------------
The original fraction was 35/37
----------------------
check:
OK
check my math
Answer by greenestamps(13195) (Show Source): You can put this solution on YOUR website!
The same number was added to both numerator and denominator, so in the new number the denominator is STILL 2 more than the numerator.
So rewrite the simplified fraction 19/20 as an equivalent fraction in which the denominator is 2 more than the numerator: 38/40.
Now subtract the 3 that were added from numerator and denominator to get the original fraction, 35/37.
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