SOLUTION: a fraction becomes 2/3 when 1 is added to both, its numerator and denominator. and, it becomes 1/2 when 1 is subtracted from both the numerator and denominator.
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Question 624882: a fraction becomes 2/3 when 1 is added to both, its numerator and denominator. and, it becomes 1/2 when 1 is subtracted from both the numerator and denominator. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the fraction you're looking for
given:
(1)
(2)
---------------------------
Multiply both sides of (1) by
Multiply both sides of (2) by
-----------------------
(1)
(2)
------------------------
(1)
(1)
and
(2)
(2)
-----------------
Multiply both sides of (2) by
and subtract (1) from (2)
(2)
and
(2)
(1)
and
(2)
(2)
(2)
So, the original faction was 3/5
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
