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

Explanation:

Step1: Recall division - by - fraction rule

Dividing by a fraction $\frac{a}{b}$ is equivalent to multiplying by its reciprocal $\frac{b}{a}$.

Step2: Identify reciprocal

When dividing by $\frac{2}{3}$, the reciprocal is $\frac{3}{2}$. So $6\div\frac{2}{3}=6\times\frac{3}{2}$.

Answer:

$\frac{3}{2}$