Convert fraction to percent worksheet from www.edu-games.org.
Worksheet for converting fractions to percentages with instructions and 30 problems.
PNG
1000×1500
42.8 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #288539
⭐
Show Answer Key & Explanations
Step-by-step solution for: worksheet maker to convert fractions into percentages. | Fractions ...
▼
Show Answer Key & Explanations
Step-by-step solution for: worksheet maker to convert fractions into percentages. | Fractions ...
Let's solve each of these fraction-to-percent conversions step by step, following the instructions:
> How to convert a fraction into percent:
> 1. Divide the numerator by the denominator.
> 2. Multiply the result by 100.
We'll go through each problem and compute the percentage, rounding to the nearest hundredth (two decimal places) unless otherwise specified.
---
$ \frac{1}{3} = 0.333... \times 100 = 33.33\% $
✔ Answer: 33.33%
---
Simplify: $ \frac{20}{34} = \frac{10}{17} \approx 0.5882 \times 100 = 58.82\% $
✔ Answer: 58.82%
---
Simplify: $ \frac{16}{40} = \frac{2}{5} = 0.4 \times 100 = 40\% $
✔ Answer: 40%
---
$ \frac{17}{41} \approx 0.4146 \times 100 = 41.46\% $
✔ Answer: 41.46%
---
Simplify: $ \frac{14}{28} = \frac{1}{2} = 0.5 \times 100 = 50\% $
✔ Answer: 50%
---
$ \frac{39}{43} \approx 0.9070 \times 100 = 90.70\% $
✔ Answer: 90.70%
---
Simplify: $ \frac{24}{26} = \frac{12}{13} \approx 0.9231 \times 100 = 92.31\% $
✔ Answer: 92.31%
---
Simplify: $ \frac{27}{33} = \frac{9}{11} \approx 0.8182 \times 100 = 81.82\% $
✔ Answer: 81.82%
---
$ \frac{47}{51} \approx 0.9216 \times 100 = 92.16\% $
✔ Answer: 92.16%
---
$ \frac{1}{32} = 0.03125 \times 100 = 3.125\% \approx 3.13\% $
✔ Answer: 3.13%
---
$ \frac{25}{51} \approx 0.4902 \times 100 = 49.02\% $
✔ Answer: 49.02%
---
$ \frac{6}{25} = 0.24 \times 100 = 24\% $
✔ Answer: 24%
---
$ \frac{17}{57} \approx 0.2982 \times 100 = 29.82\% $
✔ Answer: 29.82%
---
$ \frac{1}{5} = 0.2 \times 100 = 20\% $
✔ Answer: 20%
---
Simplify: $ \frac{10}{12} = \frac{5}{6} \approx 0.8333 \times 100 = 83.33\% $
✔ Answer: 83.33%
---
Simplify: $ \frac{4}{44} = \frac{1}{11} \approx 0.0909 \times 100 = 9.09\% $
✔ Answer: 9.09%
---
$ \frac{7}{12} \approx 0.5833 \times 100 = 58.33\% $
✔ Answer: 58.33%
---
$ \frac{27}{32} = 0.84375 \times 100 = 84.375\% \approx 84.38\% $
✔ Answer: 84.38%
---
Simplify: $ \frac{29}{58} = \frac{1}{2} = 50\% $
✔ Answer: 50%
---
$ \frac{39}{50} = 0.78 \times 100 = 78\% $
✔ Answer: 78%
---
$ \frac{3}{10} = 0.3 \times 100 = 30\% $
✔ Answer: 30%
---
$ \frac{4}{15} \approx 0.2667 \times 100 = 26.67\% $
✔ Answer: 26.67%
---
Simplify: $ \frac{39}{52} = \frac{3}{4} = 0.75 \times 100 = 75\% $
✔ Answer: 75%
---
Simplify: $ \frac{30}{35} = \frac{6}{7} \approx 0.8571 \times 100 = 85.71\% $
✔ Answer: 85.71%
---
$ \frac{4}{5} = 0.8 \times 100 = 80\% $
✔ Answer: 80%
---
$ \frac{31}{33} \approx 0.9394 \times 100 = 93.94\% $
✔ Answer: 93.94%
---
Simplify: $ \frac{30}{40} = \frac{3}{4} = 75\% $
✔ Answer: 75%
---
Simplify: $ \frac{14}{18} = \frac{7}{9} \approx 0.7778 \times 100 = 77.78\% $
✔ Answer: 77.78%
---
Simplify: $ \frac{36}{46} = \frac{18}{23} \approx 0.7826 \times 100 = 78.26\% $
✔ Answer: 78.26%
---
Simplify: $ \frac{35}{42} = \frac{5}{6} \approx 0.8333 \times 100 = 83.33\% $
✔ Answer: 83.33%
---
## ✔ Final Answers (All):
| Problem | Fraction | Percent |
|--------|----------|---------|
| 1) | $ \frac{1}{3} $ | 33.33% |
| 2) | $ \frac{20}{34} $ | 58.82% |
| 3) | $ \frac{16}{40} $ | 40% |
| 4) | $ \frac{17}{41} $ | 41.46% |
| 5) | $ \frac{14}{28} $ | 50% |
| 6) | $ \frac{39}{43} $ | 90.70% |
| 7) | $ \frac{24}{26} $ | 92.31% |
| 8) | $ \frac{27}{33} $ | 81.82% |
| 9) | $ \frac{47}{51} $ | 92.16% |
| 10) | $ \frac{1}{32} $ | 3.13% |
| 11) | $ \frac{25}{51} $ | 49.02% |
| 12) | $ \frac{6}{25} $ | 24% |
| 13) | $ \frac{17}{57} $ | 29.82% |
| 14) | $ \frac{1}{5} $ | 20% |
| 15) | $ \frac{10}{12} $ | 83.33% |
| 16) | $ \frac{4}{44} $ | 9.09% |
| 17) | $ \frac{7}{12} $ | 58.33% |
| 18) | $ \frac{27}{32} $ | 84.38% |
| 19) | $ \frac{29}{58} $ | 50% |
| 20) | $ \frac{39}{50} $ | 78% |
| 21) | $ \frac{3}{10} $ | 30% |
| 22) | $ \frac{4}{15} $ | 26.67% |
| 23) | $ \frac{39}{52} $ | 75% |
| 24) | $ \frac{30}{35} $ | 85.71% |
| 25) | $ \frac{4}{5} $ | 80% |
| 26) | $ \frac{31}{33} $ | 93.94% |
| 27) | $ \frac{30}{40} $ | 75% |
| 28) | $ \frac{14}{18} $ | 77.78% |
| 29) | $ \frac{36}{46} $ | 78.26% |
| 30) | $ \frac{35}{42} $ | 83.33% |
---
- Always simplify fractions first if possible — it makes division easier.
- Use a calculator for long divisions, or use long division manually.
- Round percentages to two decimal places unless told otherwise.
Let me know if you'd like this in printable format or with explanations for any specific ones!
> How to convert a fraction into percent:
> 1. Divide the numerator by the denominator.
> 2. Multiply the result by 100.
We'll go through each problem and compute the percentage, rounding to the nearest hundredth (two decimal places) unless otherwise specified.
---
1) $ \frac{1}{3} $
$ \frac{1}{3} = 0.333... \times 100 = 33.33\% $
✔ Answer: 33.33%
---
2) $ \frac{20}{34} $
Simplify: $ \frac{20}{34} = \frac{10}{17} \approx 0.5882 \times 100 = 58.82\% $
✔ Answer: 58.82%
---
3) $ \frac{16}{40} $
Simplify: $ \frac{16}{40} = \frac{2}{5} = 0.4 \times 100 = 40\% $
✔ Answer: 40%
---
4) $ \frac{17}{41} $
$ \frac{17}{41} \approx 0.4146 \times 100 = 41.46\% $
✔ Answer: 41.46%
---
5) $ \frac{14}{28} $
Simplify: $ \frac{14}{28} = \frac{1}{2} = 0.5 \times 100 = 50\% $
✔ Answer: 50%
---
6) $ \frac{39}{43} $
$ \frac{39}{43} \approx 0.9070 \times 100 = 90.70\% $
✔ Answer: 90.70%
---
7) $ \frac{24}{26} $
Simplify: $ \frac{24}{26} = \frac{12}{13} \approx 0.9231 \times 100 = 92.31\% $
✔ Answer: 92.31%
---
8) $ \frac{27}{33} $
Simplify: $ \frac{27}{33} = \frac{9}{11} \approx 0.8182 \times 100 = 81.82\% $
✔ Answer: 81.82%
---
9) $ \frac{47}{51} $
$ \frac{47}{51} \approx 0.9216 \times 100 = 92.16\% $
✔ Answer: 92.16%
---
10) $ \frac{1}{32} $
$ \frac{1}{32} = 0.03125 \times 100 = 3.125\% \approx 3.13\% $
✔ Answer: 3.13%
---
11) $ \frac{25}{51} $
$ \frac{25}{51} \approx 0.4902 \times 100 = 49.02\% $
✔ Answer: 49.02%
---
12) $ \frac{6}{25} $
$ \frac{6}{25} = 0.24 \times 100 = 24\% $
✔ Answer: 24%
---
13) $ \frac{17}{57} $
$ \frac{17}{57} \approx 0.2982 \times 100 = 29.82\% $
✔ Answer: 29.82%
---
14) $ \frac{1}{5} $
$ \frac{1}{5} = 0.2 \times 100 = 20\% $
✔ Answer: 20%
---
15) $ \frac{10}{12} $
Simplify: $ \frac{10}{12} = \frac{5}{6} \approx 0.8333 \times 100 = 83.33\% $
✔ Answer: 83.33%
---
16) $ \frac{4}{44} $
Simplify: $ \frac{4}{44} = \frac{1}{11} \approx 0.0909 \times 100 = 9.09\% $
✔ Answer: 9.09%
---
17) $ \frac{7}{12} $
$ \frac{7}{12} \approx 0.5833 \times 100 = 58.33\% $
✔ Answer: 58.33%
---
18) $ \frac{27}{32} $
$ \frac{27}{32} = 0.84375 \times 100 = 84.375\% \approx 84.38\% $
✔ Answer: 84.38%
---
19) $ \frac{29}{58} $
Simplify: $ \frac{29}{58} = \frac{1}{2} = 50\% $
✔ Answer: 50%
---
20) $ \frac{39}{50} $
$ \frac{39}{50} = 0.78 \times 100 = 78\% $
✔ Answer: 78%
---
21) $ \frac{3}{10} $
$ \frac{3}{10} = 0.3 \times 100 = 30\% $
✔ Answer: 30%
---
22) $ \frac{4}{15} $
$ \frac{4}{15} \approx 0.2667 \times 100 = 26.67\% $
✔ Answer: 26.67%
---
23) $ \frac{39}{52} $
Simplify: $ \frac{39}{52} = \frac{3}{4} = 0.75 \times 100 = 75\% $
✔ Answer: 75%
---
24) $ \frac{30}{35} $
Simplify: $ \frac{30}{35} = \frac{6}{7} \approx 0.8571 \times 100 = 85.71\% $
✔ Answer: 85.71%
---
25) $ \frac{4}{5} $
$ \frac{4}{5} = 0.8 \times 100 = 80\% $
✔ Answer: 80%
---
26) $ \frac{31}{33} $
$ \frac{31}{33} \approx 0.9394 \times 100 = 93.94\% $
✔ Answer: 93.94%
---
27) $ \frac{30}{40} $
Simplify: $ \frac{30}{40} = \frac{3}{4} = 75\% $
✔ Answer: 75%
---
28) $ \frac{14}{18} $
Simplify: $ \frac{14}{18} = \frac{7}{9} \approx 0.7778 \times 100 = 77.78\% $
✔ Answer: 77.78%
---
29) $ \frac{36}{46} $
Simplify: $ \frac{36}{46} = \frac{18}{23} \approx 0.7826 \times 100 = 78.26\% $
✔ Answer: 78.26%
---
30) $ \frac{35}{42} $
Simplify: $ \frac{35}{42} = \frac{5}{6} \approx 0.8333 \times 100 = 83.33\% $
✔ Answer: 83.33%
---
## ✔ Final Answers (All):
| Problem | Fraction | Percent |
|--------|----------|---------|
| 1) | $ \frac{1}{3} $ | 33.33% |
| 2) | $ \frac{20}{34} $ | 58.82% |
| 3) | $ \frac{16}{40} $ | 40% |
| 4) | $ \frac{17}{41} $ | 41.46% |
| 5) | $ \frac{14}{28} $ | 50% |
| 6) | $ \frac{39}{43} $ | 90.70% |
| 7) | $ \frac{24}{26} $ | 92.31% |
| 8) | $ \frac{27}{33} $ | 81.82% |
| 9) | $ \frac{47}{51} $ | 92.16% |
| 10) | $ \frac{1}{32} $ | 3.13% |
| 11) | $ \frac{25}{51} $ | 49.02% |
| 12) | $ \frac{6}{25} $ | 24% |
| 13) | $ \frac{17}{57} $ | 29.82% |
| 14) | $ \frac{1}{5} $ | 20% |
| 15) | $ \frac{10}{12} $ | 83.33% |
| 16) | $ \frac{4}{44} $ | 9.09% |
| 17) | $ \frac{7}{12} $ | 58.33% |
| 18) | $ \frac{27}{32} $ | 84.38% |
| 19) | $ \frac{29}{58} $ | 50% |
| 20) | $ \frac{39}{50} $ | 78% |
| 21) | $ \frac{3}{10} $ | 30% |
| 22) | $ \frac{4}{15} $ | 26.67% |
| 23) | $ \frac{39}{52} $ | 75% |
| 24) | $ \frac{30}{35} $ | 85.71% |
| 25) | $ \frac{4}{5} $ | 80% |
| 26) | $ \frac{31}{33} $ | 93.94% |
| 27) | $ \frac{30}{40} $ | 75% |
| 28) | $ \frac{14}{18} $ | 77.78% |
| 29) | $ \frac{36}{46} $ | 78.26% |
| 30) | $ \frac{35}{42} $ | 83.33% |
---
🔍 Summary Tips:
- Always simplify fractions first if possible — it makes division easier.
- Use a calculator for long divisions, or use long division manually.
- Round percentages to two decimal places unless told otherwise.
Let me know if you'd like this in printable format or with explanations for any specific ones!
Parent Tip: Review the logic above to help your child master the concept of changing fraction to percentage worksheet.