# Modeling: Draw models to represents 3/4 and 2(3/5).

Question
Fractions
Modeling: Draw models to represents $$\displaystyle\frac{{3}}{{4}}$$ and $$\displaystyle{2}{\left(\frac{{3}}{{5}}\right)}$$.

2020-11-24
The model for the fraction $$\displaystyle\frac{{3}}{{4}}$$ is shown below. You can thing a circular pizza. Now divide it 4 equal slices. Then $$\displaystyle\frac{{3}}{{4}}$$ represent three pizza slice.
$$\displaystyle\frac{{3}}{{4}}$$
The model for the fraction $$\displaystyle{2}{\left(\frac{{3}}{{5}}\right)}$$. First note that
$$\displaystyle{2}{\left(\frac{{3}}{{5}}\right)}={2}\cdot{5}+\frac{{3}}{{5}}=\frac{{13}}{{5}}$$
You can think you have three circular pizzas. Now divide it each pizza by 5 equal slices. Then you have total $$\displaystyle{5}{x}{3}={15}$$ slices. Then $$\displaystyle{2}{\left(\frac{{3}}{{5}}\right)}$$ represent total 13 pizza slices. That meants two complete pizza and three slices from the third pizza.
$$\displaystyle{2}{\left(\frac{{3}}{{5}}\right)}$$

### Relevant Questions

Modeling: Draw models to represents $$\displaystyle{\frac{{{3}}}{{{4}}}}$$ and $$\displaystyle{2}{\frac{{{3}}}{{{5}}}}.$$
Write the reciprocal of each of the following:
$$\displaystyle{a}.{\frac{{{1}}}{{{8}}}}$$
$$\displaystyle{b}.{\frac{{{7}}}{{{12}}}}$$
$$\displaystyle{c}.{\frac{{{3}}}{{{5}}}}$$
$$\displaystyle{d}.{1}{\frac{{{1}}}{{{2}}}}$$
$$\displaystyle{e}.{3}{\frac{{{3}}}{{{4}}}}$$
f. 6
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How many tenths are there in $$4/5$$?