Question
\( \begin{array}{lllll}\text { f. } \frac{4}{5} & \text { g. } \frac{8}{20} & \text { h. } \frac{1}{3} & \text { f. } \frac{2}{3} & \text { e. } 103 \%\end{array} \) \( \begin{array}{llll}\text { 4. Write the percentages as decimal fractions. } \\ \text { a. } 34 \% & \text { b. } 25 \% & \text { c. } 56 \% & \text { d. } 2 \%\end{array} \)
Ask by Horton Whittaker. in South Africa
Mar 05,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 34\% = 0.34 \), \( 25\% = 0.25 \), \( 56\% = 0.56 \), \( 2\% = 0.02 \).
Solution
To convert percentages to decimal fractions, we divide the percentage by 100. Let's go through each percentage step by step.
### Given Percentages:
1. \( 34\% \)
2. \( 25\% \)
3. \( 56\% \)
4. \( 2\% \)
### Conversion Steps:
1. **For \( 34\% \)**:
\[
\frac{34}{100} = 0.34
\]
2. **For \( 25\% \)**:
\[
\frac{25}{100} = 0.25
\]
3. **For \( 56\% \)**:
\[
\frac{56}{100} = 0.56
\]
4. **For \( 2\% \)**:
\[
\frac{2}{100} = 0.02
\]
### Final Results:
- \( a. \) \( 34\% = 0.34 \)
- \( b. \) \( 25\% = 0.25 \)
- \( c. \) \( 56\% = 0.56 \)
- \( d. \) \( 2\% = 0.02 \)
Thus, the percentages as decimal fractions are:
- \( 34\% = 0.34 \)
- \( 25\% = 0.25 \)
- \( 56\% = 0.56 \)
- \( 2\% = 0.02 \)
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Simplify this solution Extra Insights
To convert percentages to decimal fractions, simply divide the percentage by 100! So, for \( a. 34\% \), you get \( 0.34 \); for \( b. 25\% \), it's \( 0.25 \); for \( c. 56\% \), you'll end up with \( 0.56 \); and \( d. 2\% \) is \( 0.02 \). Easy peasy, right? When working with decimals, remember to keep track of your place values. One common mistake is forgetting to move the decimal point two places to the left when converting from percent to decimal. Just imagine your percentages doing the cha-cha slide into decimal land – it's all about the dance of the point!
