Percent
Converting percents, decimals and fractions
Practice all six conversion directions between percentages, decimals and fractions. Choose values below or above one, fractional percents, and printable simplified answer keys.
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Common fraction, decimal and percent table
Print a common-percent reference chart or fill in missing fractions, decimals and percents. Include thirds and eighths, and choose exact, truncated or rounded values.
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Complete the missing cells. Read the precision setting before writing decimal and percent values. An overbar marks a repeating digit; approximation labels identify rounded or truncated values.
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Learning objective
What this activity builds
Recognize equivalent fractions, decimals and percentages, and distinguish an exact value from an approximation.
Worked example
Write 1/8 as a decimal and a percent.
0.125 and 12 1/2% (12.5%).
Divide 1 by 8 to obtain 0.125, then multiply that value by 100 to express it as a percentage. If whole-percent rounding is requested, 13% is an approximation; the exact value is still 12.5%.
Teaching notes
Make the practice count
- Start with the complete chart and omit thirds and eighths. Discuss 1/4, 1/2 and 3/4 before adding less familiar entries.
- Choose one missing cell per row for recognition, then two when students can convert independently.
- Thirds repeat forever in decimal notation. The bar over the 3 in 0.333… represents every repeated 3.
- Truncation cuts off digits; rounding uses the next digit. Two-thirds becomes 66% when truncated to a whole percent and 67% when rounded.
- When a row contains an approximation, the exact fraction is supplied so the intended value is unambiguous.
- For a classroom reference, choose no missing cells and turn off the answer page to avoid a duplicate completed chart.
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