How do you simplify 5 1/4 div 2 1/3?

Jul 4, 2016

You first rewrite both terms into proper fractions:

Explanation:

$= \frac{21}{4} \div \frac{7}{3}$

Then, because division is multiplying by the inverse, you write:
$= \frac{21}{4} \times \frac{3}{7}$

Since $21 = 3 \times 7$:
$= \frac{3 \times \cancel{7}}{4} \times \frac{3}{\cancel{7}}$
$= \frac{3 \times 3}{4} = \frac{9}{4} = 2 \frac{1}{4}$