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. 
:
We can write this as
{{{((x+17))/((x+24))}}} = {{{2/3}}}
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
{{{14/21}}} reduces to {{{2/3}}}