Converting Fractions Worksheets - 15 Worksheets Library - Free Printable

Here are the solutions to the problems on the worksheet.

Part 1: Write each fraction as a percent

To change a fraction to a percent, you can divide the top number by the bottom number and multiply by 100, or simplify the fraction so the bottom number is 100.

1. 33/100
* The denominator is already 100.
* Answer: 33%

2. 24/40
* Divide 24 by 40 = 0.6
* $0.6 \times 100 = 60$
* Answer: 60%

3. 45/90
* 45 is exactly half of 90. Half is 50%.
* Or: $45 \div 90 = 0.5 \rightarrow 50\%$
* Answer: 50%

4. 23/80
* Divide 23 by 80 = 0.2875
* $0.2875 \times 100 = 28.75$
* Answer: 28.75%

5. 45/50
* Multiply top and bottom by 2 to get over 100: $\frac{45 \times 2}{50 \times 2} = \frac{90}{100}$
* Answer: 90%

6. 23/75
* Divide 23 by 75 = $0.30666...$
* This is a repeating decimal. Usually, we round to two decimal places for percents.
* $30.666...\% \approx 30.67\%$
* Answer: 30.67% (or $30.\overline{6}\%$)

7. 30/50
* Multiply top and bottom by 2: $\frac{30 \times 2}{50 \times 2} = \frac{60}{100}$
* Answer: 60%

8. 12/40
* Simplify: $12 \div 40 = 0.3$
* $0.3 \times 100 = 30$
* Answer: 30%

9. 45/90
* Same as #3. 45 is half of 90.
* Answer: 50%

10. 33/75
* Divide both by 3 first: $\frac{11}{25}$
* Multiply top and bottom by 4 to get over 100: $\frac{11 \times 4}{25 \times 4} = \frac{44}{100}$
* Answer: 44%

11. 24/98
* Divide 24 by 98 = $0.24489...$
* Round to two decimal places: $24.49\%$
* Answer: 24.49%

12. 76/90
* Divide 76 by 90 = $0.8444...$
* Round to two decimal places: $84.44\%$
* Answer: 84.44%

13. 25/78
* Divide 25 by 78 = $0.32051...$
* Round to two decimal places: $32.05\%$
* Answer: 32.05%

14. 65/80
* Divide 65 by 80 = 0.8125
* $0.8125 \times 100 = 81.25$
* Answer: 81.25%

15. 42/90
* Simplify by dividing by 6: $\frac{7}{15}$
* Divide 7 by 15 = $0.4666...$
* Round to two decimal places: $46.67\%$
* Answer: 46.67%

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Part 2: Write each fraction as a decimal

To change a fraction to a decimal, divide the numerator (top) by the denominator (bottom).

1. 25/50
* $25 \div 50 = 0.5$
* Answer: 0.5

2. 45/80
* $45 \div 80 = 0.5625$
* Answer: 0.5625

3. 25/75
* Simplifies to $1/3$.
* $1 \div 3 = 0.333...$
* Answer: 0.33 (repeating)

4. 25/60
* Simplifies to $5/12$.
* $5 \div 12 = 0.41666...$
* Answer: 0.4167 (rounded)

5. 33/75
* Divide both by 3: $11/25$.
* $11 \div 25 = 0.44$
* Answer: 0.44

6. 44/90
* Simplifies to $22/45$.
* $22 \div 45 = 0.4888...$
* Answer: 0.489 (rounded)

7. 22/65
* $22 \div 65 = 0.33846...$
* Answer: 0.338 (rounded)

8. 33/45
* Divide both by 3: $11/15$.
* $11 \div 15 = 0.7333...$
* Answer: 0.733 (repeating)

9. 22/70
* Simplifies to $11/35$.
* $11 \div 35 = 0.31428...$
* Answer: 0.314 (rounded)

10. 40/90
* Simplifies to $4/9$.
* $4 \div 9 = 0.444...$
* Answer: 0.444 (repeating)

11. 50/75
* Simplifies to $2/3$.
* $2 \div 3 = 0.666...$
* Answer: 0.667 (rounded)

12. 42/80
* $42 \div 80 = 0.525$
* Answer: 0.525

13. 63/100
* The denominator is 100, so move the decimal point two places left.
* Answer: 0.63

14. 30/50
* $30 \div 50 = 0.6$
* Answer: 0.6

15. 45/75
* Divide both by 15: $3/5$.
* $3 \div 5 = 0.6$
* Answer: 0.6

Final Answer:
Part 1: Percents
1. 33%
2. 60%
3. 50%
4. 28.75%
5. 90%
6. 30.67%
7. 60%
8. 30%
9. 50%
10. 44%
11. 24.49%
12. 84.44%
13. 32.05%
14. 81.25%
15. 46.67%

Part 2: Decimals
1. 0.5
2. 0.5625
3. 0.333...
4. 0.4167
5. 0.44
6. 0.489
7. 0.338
8. 0.733...
9. 0.314
10. 0.444...
11. 0.667
12. 0.525
13. 0.63
14. 0.6
15. 0.6