SOLUTION: A new fraction is obtained by adding x to the numerator and denominator of the fraction 17 -- 24 This new fraction is equivalent to 2 -- 3 Calculate the value of x. Wh

Algebra ->  Equations -> SOLUTION: A new fraction is obtained by adding x to the numerator and denominator of the fraction 17 -- 24 This new fraction is equivalent to 2 -- 3 Calculate the value of x. Wh      Log On


   



Question 275089: A new fraction is obtained by adding x to the numerator and denominator of the fraction
17
--
24
This new fraction is equivalent to
2
--
3
Calculate the value of x.
What is The working and answer?
Thanks

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A new fraction is obtained by adding x to the numerator and denominator of the fraction
17
--
24
This new fraction is equivalent to
2
--
3
Calculate the value of x.
:
We can write this as
%28%28x%2B17%29%29%2F%28%28x%2B24%29%29 = 2%2F3
Cross multiply
3(x+17) = 2(x+24)
:
3x + 51 = 2x + 48
:
3x - 2x = 48 - 51
:
x = -3
:
:
see if that works, subtract 3 from numerator and denominator
14%2F21 reduces to 2%2F3