SOLUTION: a fraction becomes 1/3 when 1is subtracted from the numerator and it becomes 1/4 when 8is added to its denominator.find the fraction

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: a fraction becomes 1/3 when 1is subtracted from the numerator and it becomes 1/4 when 8is added to its denominator.find the fraction       Log On


   

Question 896290: a fraction becomes 1/3 when 1is subtracted from the numerator and it becomes 1/4 when 8is added to its denominator.find the fraction
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a fraction becomes 1/3 when 1is subtracted from the numerator
%28n-1%29%2Fd = 1%2F3
cross multiply
1d = 3(n-1)
d = 3n - 3
and it becomes 1/4 when 8is added to its denominator.
n%2F%28d%2B8%29 = 1%2F4
cross multiply
4n = (d+8)
replace d with (3n-3)
4n = (3n-3) + 8
4n = 3n - 3 + 8
4n - 3n = 5
n = 5 is the numerator
find d
d = 3(5) - 3
d = 15 - 3
d = 12 is the denominator
:
find the fraction
5%2F12
:
:
You can check this for yourself, see if both statements are true using this fraction