Question

c{3}{4} - \frac{2}{3} " alt=" 2\frac{3}{4} - \frac{2}{3} " align="absmiddle" class="latex-formula">
Please explain how to do this

Answer 1

let's firstly, convert the mixed fraction to improper fraction, and then subtract.

$\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{11}{4}-\cfrac{2}{3}\implies \stackrel{\textit{our LCD will be 12}}{\cfrac{(3)11-(4)2}{12}}\implies \cfrac{33-8}{12}\implies \cfrac{25}{12}\implies 2\frac{1}{12}$