# maths

posted by meera

the denominator of a fraction is 1 less than 4 times a numerator.if 1 is added to both the numerator and the denominator the fraction becomes 3/8.find the fraction

1. Timothy

I think its 1/4 + 3/8 Im Not Sure

2. Steve

If the fraction is n/d, we are told that
d = 4n-1

Now we are told that
(n+1)/(d+1) = 3/8
(n+1)/(4n-1+1) = 3/8
(n+1)/(4n) = 3/8
8(n+1) = 3(4n)
8n+8 = 12n
8 = 4n
n = 2

The original fraction was 2/7
adding 1 top and bottom gives 3/8

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