Question

What is two and two thirds plus one and one half

Answer 1

the answer it four and one sixths

Answer 2

let's first convert the mixed fractions to "improper" and then sum them up.

$\bf \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\\\ \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}\\\\ -------------------------------\\\\ \cfrac{8}{3}+\cfrac{3}{2}\quad \stackrel{LCD~of~6}{\implies }\quad \cfrac{(2)8+(3)3}{6}\implies \cfrac{16+9}{6}\implies \cfrac{25}{6}\implies 4\frac{1}{6}$