Question

pick the model that represents this division equation.
\\(\frac{4}{5} div \frac{3}{4} = ?\\)
hint: use a related multiplication equation.

Explanation:

Step1: Rewrite division as multiplication

$\frac{4}{5} \div \frac{3}{4} = \frac{4}{5} \times \frac{4}{3} = \frac{16}{15}$

Step2: Match to the correct model

We need a model where the shaded part is $\frac{4}{5}$, and this shaded part represents $\frac{3}{4}$ of the unknown total $?$. Rearranging, $? = \frac{4}{5} \div \frac{3}{4}$, so the model should show $\frac{4}{5}$ as $\frac{3}{4}$ of the whole. The top model has the shaded segment labeled $\frac{3}{4}$ equal to 4 parts out of 5 (i.e., $\frac{4}{5}$), which matches our equation.

Answer:

The top model (the one with 4 red shaded parts out of 5 total parts, where the shaded section is labeled $\frac{3}{4}$ and the whole is labeled $?$)