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# Now I truly came across a road block

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The denominator of a fraction is 2 more than its numerator.

When 1212 is added to this fraction, the resulting fraction's denominator is twice the denominator of the original fraction and its numerator is 1 more than its denominator.

What is the numerator of the original fraction?

How to do this?

Thanks for the tips guys

Jan 16, 2019
edited by Love2Read  Jan 16, 2019

#1
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https://web2.0calc.com/questions/the-denominator-of-a-fraction-is-3-more-than-its-numerator

Jan 16, 2019
#2
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x / (x+2)  + 1/2  =  ( 2(x+2) +1)/ (2(x+2))       cross multiply L side

(2x + 2 + x )/(2(x+2))   = (2x+4 +1) / (2(x+2)        eliminate the denominators

3x+2 = 2x+5

x=3

fraction is 3/5

3/5   + 1/2   =   6/10 + 5/10 = 11/10    Check!

Jan 16, 2019
#4
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thank you for the link, I myself was a bit conu]fused on what the question meant

#3
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x / [ x + 2 ]  + 12   =   [ x + 3 ]  /  ( 2 [ x + 2 ] )      simplify

[ x + 12 (x + 2) ] / [ x + 2]  =  [ x + 3 ] /  (  2 [ x + 2] )

x + 12x + 24  =  [ x + 3 ] / 2

13x + 24 =  [ x + 3 ] / 2        cross-multiply

26x + 48  =  x + 3        simplify

25x =  - 45

x = - 45 / 25  =     - 9 / 5  =  original  numerator   Jan 16, 2019