PERCENTAGE PRACTICE WORKSHEET FOR GRADE 4/5 - Teach On - Free Printable

Problem: Solve the percentage worksheet step by step.

#### I. Find the value of each as directed:

1. a. 50% of 76
- Formula: \( \text{Percentage of a number} = \frac{\text{Percentage}}{100} \times \text{Number} \)
- Calculation: \( 50\% \text{ of } 76 = \frac{50}{100} \times 76 = 0.5 \times 76 = 38 \)
- Answer: \( 38 \)

2. b. 50% of 126
- Calculation: \( 50\% \text{ of } 126 = \frac{50}{100} \times 126 = 0.5 \times 126 = 63 \)
- Answer: \( 63 \)

3. c. 100% of 3.6
- Calculation: \( 100\% \text{ of } 3.6 = \frac{100}{100} \times 3.6 = 1 \times 3.6 = 3.6 \)
- Answer: \( 3.6 \)

4. d. 1% of 38
- Calculation: \( 1\% \text{ of } 38 = \frac{1}{100} \times 38 = 0.01 \times 38 = 0.38 \)
- Answer: \( 0.38 \)

5. e. 10% of 42
- Calculation: \( 10\% \text{ of } 42 = \frac{10}{100} \times 42 = 0.1 \times 42 = 4.2 \)
- Answer: \( 4.2 \)

6. f. 15% of 38
- Calculation: \( 15\% \text{ of } 38 = \frac{15}{100} \times 38 = 0.15 \times 38 = 5.7 \)
- Answer: \( 5.7 \)

7. g. 10% of 42
- Calculation: \( 10\% \text{ of } 42 = \frac{10}{100} \times 42 = 0.1 \times 42 = 4.2 \)
- Answer: \( 4.2 \)

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#### II. Express the decimals as percentages:

1. a. 0.45
- Formula: \( \text{Decimal to Percentage} = \text{Decimal} \times 100 \)
- Calculation: \( 0.45 \times 100 = 45\% \)
- Answer: \( 45\% \)

2. b. 0.067
- Calculation: \( 0.067 \times 100 = 6.7\% \)
- Answer: \( 6.7\% \)

3. c. 3.75
- Calculation: \( 3.75 \times 100 = 375\% \)
- Answer: \( 375\% \)

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#### III. Express the fractions as percentages:

1. a. \( \frac{35}{10} \)
- Convert fraction to decimal: \( \frac{35}{10} = 3.5 \)
- Convert decimal to percentage: \( 3.5 \times 100 = 350\% \)
- Answer: \( 350\% \)

2. b. \( \frac{15}{25} \)
- Simplify the fraction: \( \frac{15}{25} = \frac{3}{5} \)
- Convert fraction to decimal: \( \frac{3}{5} = 0.6 \)
- Convert decimal to percentage: \( 0.6 \times 100 = 60\% \)
- Answer: \( 60\% \)

3. c. \( \frac{6}{400} \)
- Simplify the fraction: \( \frac{6}{400} = \frac{3}{200} \)
- Convert fraction to decimal: \( \frac{3}{200} = 0.015 \)
- Convert decimal to percentage: \( 0.015 \times 100 = 1.5\% \)
- Answer: \( 1.5\% \)

4. d. \( \frac{13}{15} \)
- Convert fraction to decimal: \( \frac{13}{15} \approx 0.8667 \)
- Convert decimal to percentage: \( 0.8667 \times 100 \approx 86.67\% \)
- Answer: \( 86.67\% \)

5. e. \( 1 \frac{3}{7} \)
- Convert mixed number to improper fraction: \( 1 \frac{3}{7} = \frac{7}{7} + \frac{3}{7} = \frac{10}{7} \)
- Convert fraction to decimal: \( \frac{10}{7} \approx 1.4286 \)
- Convert decimal to percentage: \( 1.4286 \times 100 \approx 142.86\% \)
- Answer: \( 142.86\% \)

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#### IV. Express percentage as fraction in its simplest form:

1. a. 30%
- Convert percentage to fraction: \( 30\% = \frac{30}{100} \)
- Simplify the fraction: \( \frac{30}{100} = \frac{3}{10} \)
- Answer: \( \frac{3}{10} \)

2. b. 200%
- Convert percentage to fraction: \( 200\% = \frac{200}{100} \)
- Simplify the fraction: \( \frac{200}{100} = 2 \)
- Answer: \( 2 \)

3. c. 8%
- Convert percentage to fraction: \( 8\% = \frac{8}{100} \)
- Simplify the fraction: \( \frac{8}{100} = \frac{2}{25} \)
- Answer: \( \frac{2}{25} \)

4. d. 115%
- Convert percentage to fraction: \( 115\% = \frac{115}{100} \)
- Simplify the fraction: \( \frac{115}{100} = \frac{23}{20} \)
- Answer: \( \frac{23}{20} \)

5. e. 90%
- Convert percentage to fraction: \( 90\% = \frac{90}{100} \)
- Simplify the fraction: \( \frac{90}{100} = \frac{9}{10} \)
- Answer: \( \frac{9}{10} \)

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Final Answers:

I.
- a. \( \boxed{38} \)
- b. \( \boxed{63} \)
- c. \( \boxed{3.6} \)
- d. \( \boxed{0.38} \)
- e. \( \boxed{4.2} \)
- f. \( \boxed{5.7} \)
- g. \( \boxed{4.2} \)

II.
- a. \( \boxed{45\%} \)
- b. \( \boxed{6.7\%} \)
- c. \( \boxed{375\%} \)

III.
- a. \( \boxed{350\%} \)
- b. \( \boxed{60\%} \)
- c. \( \boxed{1.5\%} \)
- d. \( \boxed{86.67\%} \)
- e. \( \boxed{142.86\%} \)

IV.
- a. \( \boxed{\frac{3}{10}} \)
- b. \( \boxed{2} \)
- c. \( \boxed{\frac{2}{25}} \)
- d. \( \boxed{\frac{23}{20}} \)
- e. \( \boxed{\frac{9}{10}} \)