SOLUTION: 6. The denominator of a fraction exceeds the numerator by 4.When 3 is added to the booth numerator and the denominator, the fraction becomes 4/5. Find the fraction?
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Question 393228: 6. The denominator of a fraction exceeds the numerator by 4.When 3 is added to the booth numerator and the denominator, the fraction becomes 4/5. Find the fraction?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The denominator of a fraction exceeds the numerator by 4.
d = n+4
:
When 3 is added to the both numerator and the denominator, the fraction becomes 4/5.
=
Cross multiply
5(n+3) = 4(d+3)
5n + 15 = 4d + 12
5n = 4d + 12 - 15
5n = 4d - 3
Replace d with (n+4), find n
5n = 4(n+4) - 3
5n = 4n + 16 - 3
5n - 4n = 13
n = 13 is the numerator
then
d = 13 + 4
d = 17 is the denominator
:
is the fraction
:
:
Check solution in original equation
= =
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