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!
### 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!
