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Fraction, Decimal, Percentage Conversions

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Fraction, Decimal, Percentage Conversions worksheet preview

Fraction, Decimal, Percentage Conversions

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Reminder: Percentages are amounts out of 100. To change a decimal to a percentage, multiply by 100.

Conversion chain: fraction → decimal → percentage. Show your simplifying or scaling.

1. Complete: 1/2 = ______ = ______%

Use division: 1 ÷ 2 = ______

2. Complete: 1/4 = ______ = ______%

Use division: 1 ÷ 4 = ______

3. Complete: 3/5 = ______ = ______%

Use division: 3 ÷ 5 = ______

4. Complete: 7/25 = ______/100 = ______ = ______%

Scale by ×4: 7 × 4 = ______ and 25 × 4 = ______

5. Complete: 18/25 = ______/100 = ______ = ______%

Scale by ×4: 18 × 4 = ______ and 25 × 4 = ______

Core

For each fraction, simplify first. Then convert it to a decimal and a percentage.

6. 15/30 = ______ = ______ = ______%

Show the common factor used to simplify: ÷ ______

7. 24/40 = ______ = ______ = ______%

Show the common factor used to simplify: ÷ ______

8. 13/25 = ______/100 = ______ = ______%

Show your scaling: × ______

9. 19/25 = ______/100 = ______ = ______%

Show your scaling: × ______

10. Convert 0.45 to a fraction and a percentage.

0.45 = ______/100 = ______%

11. Order these values from least to greatest: 0.6, 58%, 3/5, 0.625

Order: __________________________________________________________

Justify your answer by converting each value to the same form.

Challenge

12. A student says: 8/25 = 0.8 = 80%.

What is the error? Correct the conversion and show your scaling or division.

13. Create two different fractions equal to 64%.

Show the fraction, decimal and percentage for each fraction.

Exit Ticket

14. Convert 14/25 to a decimal and a percentage.

14/25 = ______ = ______%

15. Explain why 12/20 equals 0.6.
16. Correct the statement: 0.37 = 3.7%.

Correct statement: __________________________________________________

Explain the place-value error: ________________________________________

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