Question

how can you find the number of $\frac{2}{3}$s in 6? step 1: multiply 6 by 3 to find the number of thirds in 6. step 2: divide by 2 to find the number of groups of 2 thirds. which expression means to multiply 6 by 3, then divide by 2? 6 $div$ $\frac{2}{3}$ = 6 $\times$?

Explanation:

Step1: Recall division - fraction rule

Dividing by a fraction is multiplying by its reciprocal. Since dividing by $\frac{2}{3}$ is the same as multiplying by its reciprocal.

Step2: Find the reciprocal

The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$.

Answer:

$\frac{3}{2}$