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Generate Fraction, Decimal & Percent Conversions Worksheets

Learn to convert numbers between fractional, decimal, and percentage forms seamlessly.

Three Forms, One Value: Fraction, Decimal & Percent Conversions

Fractions, decimals, and percentages are three different ways to express the same quantity — 1/2, 0.5, and 50% all represent exactly half. Being able to convert fluently among these forms is essential for comparing values, interpreting data, calculating discounts, and solving real-world problems across math, science, and everyday life.

Components of Conversions

This section covers the six conversion pathways:

  • Fraction to Decimal: Divide the numerator by the denominator.
  • Decimal to Fraction: Read the decimal using place value, write it as a fraction, and simplify.
  • Fraction to Percent: Convert the fraction to a decimal, then multiply by 100 and add the % sign.
  • Percent to Fraction: Write the percent over 100 and simplify.
  • Decimal to Percent: Multiply the decimal by 100 (move the point two places right) and add %.
  • Percent to Decimal: Divide by 100 (move the point two places left).

Examples of Conversions

Fraction to Decimal Examples

  • Convert 3/4 to a decimal: Divide 3 ÷ 4 = 0.75.
  • Convert 1/3 to a decimal: Divide 1 ÷ 3 = 0.333... (a repeating decimal, often rounded to 0.33).
  • Convert 7/8 to a decimal: Divide 7 ÷ 8 = 0.875.

Decimal to Fraction Examples

  • Convert 0.6 to a fraction: 0.6 = 6/10, which simplifies to 3/5.
  • Convert 0.125 to a fraction: 0.125 = 125/1000, which simplifies to 1/8 (divide by 125).
  • Convert 0.45 to a fraction: 0.45 = 45/100, which simplifies to 9/20 (divide by 5).

Fraction to Percent Examples

  • Convert 4/5 to a percent: 4 ÷ 5 = 0.8, then 0.8 × 100 = 80%.
  • Convert 1/8 to a percent: 1 ÷ 8 = 0.125, then 0.125 × 100 = 12.5%.
  • A student answers 17 out of 20 questions correctly. Convert 17/20: 17 ÷ 20 = 0.85, so the score is 85%.

Percent to Fraction Examples

  • Convert 25% to a fraction: 25/100 simplifies to 1/4.
  • Convert 66% to a fraction: 66/100 simplifies to 33/50.
  • A store offers 40% off. As a fraction, 40/100 simplifies to 2/5, meaning you save 2 out of every 5 dollars.

Decimal to Percent Examples

  • Convert 0.72 to a percent: 0.72 × 100 = 72%.
  • Convert 0.05 to a percent: 0.05 × 100 = 5%.
  • A batting average of 0.315 converts to 31.5%, meaning the player gets a hit about 31.5% of at-bats.

Percent to Decimal Examples

  • Convert 60% to a decimal: 60 ÷ 100 = 0.6.
  • Convert 8.5% to a decimal: 8.5 ÷ 100 = 0.085.
  • A savings account earns 3.25% interest. As a decimal, 3.25 ÷ 100 = 0.0325, used in calculations like $1,000 × 0.0325 = $32.50.