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The Percent Proportion

Express each fraction or ratio as a percent.

1. [tex]\(\frac{3}{4}\)[/tex]
2. 4 out of 5
3. 4 to 10
4. 7 to 4
5. [tex]\(\frac{13}{20}\)[/tex]
6. 1 out of 8
7. [tex]\(\frac{1}{5}\)[/tex]
8. 2 out of 4
9. 6 to 5
10. Two out of 50 students scored above 98 on a geometry test.
11. At a computer convention, 19 out of 20 people accepted a free mouse pad.
12. In a recent inspection, three-eighths of the apartments at Kendall Heights had fire extinguishers.

Use the percent proportion to find each number.

13. 20 is what percent of 125?
14. Find [tex]\(30\%\)[/tex] of 75.
15. 18 is [tex]\(45\%\)[/tex] of what number?
16. [tex]\(85\%\)[/tex] of what number is 85?
17. 15 is what percent of 50?
18. What number is [tex]\(3\%\)[/tex] of 40?
19. [tex]\(40\%\)[/tex] of what number is 28?
20. Find [tex]\(130\%\)[/tex] of 20.
21. 78 is [tex]\(65\%\)[/tex] of what number?
22. What is [tex]\(10\%\)[/tex] of 73?
23. 30 is what percent of 150?
24. Find [tex]\(6\%\)[/tex] of 15.

Answer :

Sure! Let's work through these problems together. We have two main types of tasks: converting fractions or ratios to percentages and using the percent proportion to find unknown values.

### Converting Fractions/Ratios to Percentages

To convert a fraction or ratio to a percentage, you divide the numerator by the denominator and then multiply by 100.

1. Convert [tex]\(\frac{3}{4}\)[/tex] to percent:
[tex]\[
\left(\frac{3}{4}\right) \times 100 = 75\%
\][/tex]

2. Convert 4 out of 5 to percent:
[tex]\[
\left(\frac{4}{5}\right) \times 100 = 80\%
\][/tex]

3. Convert 4 to 10 to percent:
[tex]\[
\left(\frac{4}{10}\right) \times 100 = 40\%
\][/tex]

4. Convert 7 to 4 to percent:
[tex]\[
\left(\frac{7}{4}\right) \times 100 = 175\%
\][/tex]

5. Convert [tex]\(\frac{13}{20}\)[/tex] to percent:
[tex]\[
\left(\frac{13}{20}\right) \times 100 = 65\%
\][/tex]

6. Convert 1 out of 8 to percent:
[tex]\[
\left(\frac{1}{8}\right) \times 100 = 12.5\%
\][/tex]

7. Convert [tex]\(\frac{1}{5}\)[/tex] to percent:
[tex]\[
\left(\frac{1}{5}\right) \times 100 = 20\%
\][/tex]

8. Convert 2 out of 4 to percent:
[tex]\[
\left(\frac{2}{4}\right) \times 100 = 50\%
\][/tex]

9. Convert 6 to 5 to percent:
[tex]\[
\left(\frac{6}{5}\right) \times 100 = 120\%
\][/tex]

10. Convert 2 out of 50 to percent:
[tex]\[
\left(\frac{2}{50}\right) \times 100 = 4\%
\][/tex]

11. Convert 19 out of 20 to percent:
[tex]\[
\left(\frac{19}{20}\right) \times 100 = 95\%
\][/tex]

12. Convert three-eighths to percent:
[tex]\[
\left(\frac{3}{8}\right) \times 100 = 37.5\%
\][/tex]

### Using Percent Proportion to Find Unknown Values

For these problems, we'll use the formula: [tex]\( \text{Part} = \text{Percent} \times \frac{\text{Whole}}{100} \)[/tex] to solve for the unknown.

13. 20 is what percent of 125?
[tex]\[
\left(\frac{20}{125}\right) \times 100 = 16\%
\][/tex]

14. Find 30% of 75:
[tex]\[
0.30 \times 75 = 22.5
\][/tex]

15. 18 is 45% of what number?
[tex]\[
\frac{18}{0.45} = 40
\][/tex]

16. 85% of what number is 85?
[tex]\[
\frac{85}{0.85} = 100
\][/tex]

17. 15 is what percent of 50?
[tex]\[
\left(\frac{15}{50}\right) \times 100 = 30\%
\][/tex]

18. What number is 3% of 40?
[tex]\[
0.03 \times 40 = 1.2
\][/tex]

19. 40% of what number is 28?
[tex]\[
\frac{28}{0.40} = 70
\][/tex]

20. Find 130% of 20:
[tex]\[
1.30 \times 20 = 26
\][/tex]

21. 78 is 65% of what number?
[tex]\[
\frac{78}{0.65} = 120
\][/tex]

22. What is 10% of 73?
[tex]\[
0.10 \times 73 = 7.3
\][/tex]

23. 30 is what percent of 150?
[tex]\[
\left(\frac{30}{150}\right) \times 100 = 20\%
\][/tex]

24. Find 6% of 15:
[tex]\[
0.06 \times 15 = 0.9
\][/tex]

These calculations answer all the questions by determining each fraction or ratio as a percent and solving for any unknown values using percentages. If you have more questions, feel free to ask!

Thanks for taking the time to read The Percent Proportion Express each fraction or ratio as a percent 1 tex frac 3 4 tex 2 4 out of 5 3 4 to. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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