original fraction : x/(x+4)
new fraction:
(x+1)/(x+4) = 2/3
3x+3 = 2x+8
x = 5
the original fraction was 5/9
check: add one to 5, then reduce the fraction
The denominator of a fraction is 4 more than the numerator. If the numerator is increased by 1, the fraction becomes 2/3, find the fraction
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