9. Arrange in order from smallest to greatest $$ 0.47,21 \%, 0.06, \frac{4}{5}, \frac{3}{8}, 33 \frac{1}{3} \% $$

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UpStudy AI · Accepted Answer

We first convert all numbers to decimals:

- $$0.47$$ remains $$0.47$$.
- $$21\%$$ is converted by dividing by $$100$$:  
  $$
  21\% = \frac{21}{100} = 0.21.
  $$
- $$0.06$$ remains $$0.06$$.
- $$\frac{4}{5}$$ in decimal is:  
  $$
  \frac{4}{5} = 0.8.
  $$
- $$\frac{3}{8}$$ in decimal is:  
  $$
  \frac{3}{8} = 0.375.
  $$
- $$33\frac{1}{3}\%$$ is interpreted as $$33.333\ldots\%$$ and converted as:  
  $$
  33\frac{1}{3}\% = \frac{33.\overline{3}}{100} = 0.333\overline{3}.
  $$

Now we list the decimal equivalents:

- $$0.06$$
- $$21\% = 0.21$$
- $$33\frac{1}{3}\% \approx 0.3333$$
- $$\frac{3}{8} = 0.375$$
- $$0.47$$
- $$\frac{4}{5} = 0.8$$

Arranging these in order from smallest to greatest gives:

$$
0.06,\quad 21\%,\quad 33\frac{1}{3}\%,\quad \frac{3}{8},\quad 0.47,\quad \frac{4}{5}
$$
The numbers arranged from smallest to greatest are: 0.06, 21%, 33 1⁄3 %, 3⁄8, 0.47, 4⁄5

9. Arrange in order from smallest to greatest \( 0.47,21 \%, 0.06, \frac{4}{5}, \frac{3}{8}, 33 \frac{1}{3} \% \)

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