Question 1201447
<br>
A solution using logical reasoning instead of formal algebra....<br>
When 5 is subtracted from both numerator and denominator of a fraction, the difference between the numerator and denominator remains unchanged.<br>
In the fraction 2/3 that we want to end up with, the difference between the numerator and denominator is 1.<br>
We need an equivalent fraction in which the numerator and denominator have a difference of 8.  To find that fraction, simply multiply numerator and denominator of 2/3 by 8 to get the fraction 16/24.<br>
That fraction 16/24 is the fraction we need to have after subtracting 5 from both numerator and denominator of the original fraction, so the original fraction is (16+5)/(24+5) = 21/29.<br>
ANSWER: 21/29<br>