Question 4b 4b of 4 Match each decimal on the left with an equivalent simplified fraction and percent on the right. Some answer options on the right will not be used. 0.125 8.4 0.55 $$ 8 \frac{2}{5} $$ and $$ 840 \% $$ $$ \frac{21}{25} $$ and $$ 84 \% $$ $$ \frac{1}{8} $$ and $$ 12.5 \% $$ $$ \frac{11}{20} $$ and $$ 55 \% $$ $$ \frac{5}{4} $$ and $$ 12.5 \% $$ $$ \frac{11}{20} $$ and $$ 0.55 \% $$ Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your cursor is over the target before releasing. The target will highlight or the cursor will change. Need help? Question ID: 50029 Submit

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UpStudy AI · Accepted Answer

To match each decimal with its equivalent simplified fraction and percent, we will convert each decimal into a fraction and a percentage. Let's go through each decimal step by step.

1. **Decimal: 0.125**
   - **Fraction**: To convert 0.125 to a fraction, we recognize that it is equivalent to $$ \frac{125}{1000} $$. Simplifying this gives us $$ \frac{1}{8} $$.
   - **Percent**: To convert to a percentage, we multiply by 100: $$ 0.125 	imes 100 = 12.5\% $$.
   - **Match**: $$ \frac{1}{8} $$ and $$ 12.5\% $$.

2. **Decimal: 8.4**
   - **Fraction**: To convert 8.4 to a fraction, we can write it as $$ \frac{84}{10} $$. Simplifying this gives us $$ \frac{42}{5} $$ or $$ 8 \frac{2}{5} $$.
   - **Percent**: To convert to a percentage, we multiply by 100: $$ 8.4 	imes 100 = 840\% $$.
   - **Match**: $$ 8 \frac{2}{5} $$ and $$ 840\% $$.

3. **Decimal: 0.55**
   - **Fraction**: To convert 0.55 to a fraction, we recognize that it is equivalent to $$ \frac{55}{100} $$. Simplifying this gives us $$ \frac{11}{20} $$.
   - **Percent**: To convert to a percentage, we multiply by 100: $$ 0.55 	imes 100 = 55\% $$.
   - **Match**: $$ \frac{11}{20} $$ and $$ 55\% $$.

Now, let's summarize the matches:

- **0.125** matches with **$$ \frac{1}{8} $$ and $$ 12.5\% $$**
- **8.4** matches with **$$ 8 \frac{2}{5} $$ and $$ 840\% $$**
- **0.55** matches with **$$ \frac{11}{20} $$ and $$ 55\% $$**

The unused options are:
- $$ \frac{21}{25} $$ and $$ 84\% $$
- $$ \frac{5}{4} $$ and $$ 12.5\% $$
- $$ \frac{11}{20} $$ and $$ 0.55\% $$ (this is incorrect as $$ 0.55\% $$ is not equivalent to $$ 0.55 $$)

Thus, the final matches are:
- **0.125** → $$ \frac{1}{8} $$ and $$ 12.5\% $$
- **8.4** → $$ 8 \frac{2}{5} $$ and $$ 840\% $$
- **0.55** → $$ \frac{11}{20} $$ and $$ 55\% $$
- **0.125** matches with **$$ \frac{1}{8} $$ and $$ 12.5\% $$** - **8.4** matches with **$$ 8 \frac{2}{5} $$ and $$ 840\% $$** - **0.55** matches with **$$ \frac{11}{20} $$ and $$ 55\% $$**

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