Question

What is 2 1/2 divided by 3 2/3

Answer 1

Answer by JKismyhusbandbae:

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{1}{2}=\frac{5}{2}\\=\frac{5}{2}\div \:3\frac{2}{3}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 3\frac{2}{3}=\frac{11}{3}\\=\frac{5}{2}\div \frac{11}{3}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{5}{2}\times \frac{3}{11}\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\\=\frac{5\times \:3}{2\times \:11}\\\mathrm{Multiply\:the\:numbers:}\:5\times \:3=15\\=\frac{15}{2\times \:11}\\\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22\\=\frac{15}{22}$