Question 203295
The key to simplifying these fractions with a fraction is to multiply the numerator and denominator of the "big" fraction by the Lowest Common Denominator (LCD) of the "little" fractions within the "big" fraction.<br>
{{{(4 + 12/(2x-3))/(5 + 15/(2x-3))}}}
The LCD of the "little" fractions is (2x-3).
{{{((4+ 12/(2x-3))/(5+ 15/(2x-3)))*((2x-3)/(2x-3)) = (8x - 12 + 12)/(10x - 15 + 15) = (8x)/(10x) = 4/5}}}