SOLUTION: If 5 is added both to the numerator and denominator of a fraction, the result is equivalent to 3/4. If 3 is subtracted from both numerator and denominator of the original fraction,

Question 824357: If 5 is added both to the numerator and denominator of a fraction, the result is equivalent to 3/4. If 3 is subtracted from both numerator and denominator of the original fraction, the new result is equivalent to 1/4. Find the orginal fraction.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let the original fraction =
given:
(1)
and
(2)
----------------------------
Multiply both sides of (1) by
(1)
(1)
(1)
------------------
Multiply both sides of (2) by
(2)
(2)
(2)
Add (1) and (2)
(1)
(2)

and, since
(1)
(1)
(1)
(1)
(1)
------------

The original fraction is 4/7
check:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS
1.if 5 is added both to the numerator and denominator of a fraction an the result is... (answered by josgarithmetic)

If three is added to both the numerator and the denominator of fraction p/a the result is (answered by josgarithmetic)

The denominator of a certain fraction is six times the numerator. If 3 is added to the... (answered by oberobic)

The denominator of a certain fraction is three times the numerator. If 2 is added to the... (answered by MathLover1)

The denominator of a certain fraction is th ree times the numerator. If 2 is added to... (answered by ReadingBoosters)

the numerator of a certain fraction is 5 times the denominator. if 6 is added to both the (answered by Cromlix)

Denominator of fraction is 6 more then the numerator. If one is added to numerator and 3... (answered by Boreal)

A particular fraction is equivalent to 2/3. The fraction becomes 1/3 when 4 is... (answered by josgarithmetic)

A certain fraction is equivalent to 2/3. If 3 is added to the numerator, and 1 is added... (answered by lwsshak3)