# How do you simplify 3/2 div 3?

Jul 16, 2016

$\frac{1}{2}$

#### Explanation:

The usual way to divide with fractions is to multiply by the reciprocal.

$\frac{3}{2} \div 3 \text{ }$actually means $\frac{3}{2} \div \frac{3}{1}$

Write this as $\frac{3}{2} \times \frac{1}{3}$

Now proceed as for multiplying with fractions:

Cancel if you can , then $\left(\text{ top x top")/(" bottom x bottom}\right)$

$\frac{\cancel{3}}{2} \times \frac{1}{\cancel{3}} = \frac{1}{2}$

Or

$\frac{3}{2} \times \frac{1}{3} = \frac{3}{6} = \frac{1}{2}$

Or, as long as BOTH the numerator and denominator divide exactly, you can just divide:

$\left(\text{ top ÷ top")/(" bottom ÷ bottom}\right)$

 3/2 div 3/1 = (3÷3)/(2÷ 1) = 1/2