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
and
and
and
and
and
and
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

Ask by Salinas Ellis. in the United States

Jan 25,2025

Question

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
and
and
and
and
and
and
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

Ask by Salinas Ellis. in the United States

Jan 25,2025

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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