# How do you simplify 11/12 - 2/3?

First, we need to get both fractions over a common denominator. In this case a common denominator is $12$ therefore we only need to adjust the fraction on the right:
$\frac{11}{12} - \frac{2}{3} \to \frac{11}{12} - \left(\frac{4}{4} \times \frac{2}{3}\right) \to \frac{11}{12} - \frac{8}{12} \to \frac{3}{12} \to$
$\frac{3 \times 1}{3 \times 4} \to \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{3}}} \times 4} \to \frac{1}{4}$