Question

Divide. Write each quotient in simplest form. 2/3 ÷ 2 = _____ Show step-by-step solution.

Answer 1

The answer is $\frac{1}{3}$ 

$\frac{2}{3}$ ÷ 2 = $\frac{2}{3}$ ÷ $\frac{2}{1}$ 

If $\frac{a}{b}$ ÷ $\frac{c}{d}$ = $\frac{a*d}{b*c}$, then:
$\frac{2}{3}$ ÷ $\frac{2}{1}$ =  $\frac{2*1}{3*2}$ 

Now, 2 can be canceled out from $\frac{2*1}{3*2}$ :
$\frac{2*1}{3*2}= \frac{1}{3}$