Question

Complete the statement below to explain how this model shows that 1/2 ÷ 2/3 = 3/4.

Answer 1

Given a model in which some boxes are given.

Here, 1/2 is represented by 3 boxes and 2/3 is represented by 4 boxes. Thus, the model represents that 3/4 of 2/3 bar is equal to 1/2.

So, the mathematical representation of the model is:

$\frac{1}{2}=\frac{3}{4}\times\frac{2}{3}$

If we divide both the sides by 2/3, we get:

$\begin{gathered} \frac{1}{2}\div\frac{2}{3}=\frac{3}{4}\times\frac{2}{3}\div\frac{2}{3} \\ \frac{1}{2}\div\frac{2}{3}=\frac{3}{4} \end{gathered}$