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ollegr [7]
1 year ago
15

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

Mathematics
1 answer:
Sindrei [870]1 year ago
3 0

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}

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