Convert and Simplify

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Simplified Fraction

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Decimal

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Percentage

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Free Fraction Calculator - Simplify and Convert

Our fraction calculator lets you simplify fractions, convert fractions ↔ decimals, and fractions ↔ percentages instantly. It shows clean, rounded results and keeps exact simplified forms side‑by‑side.

How to Use

  • • Enter a fraction (numerator/denominator)
  • • Or enter a decimal, or a percentage value
  • • The other formats update automatically
  • • Results are simplified using the GCD method

What You Can Convert

  • • Proper, improper, and negative fractions
  • • Decimals to exact simplified fractions
  • • Percentages to simplified fractions
  • • Fractions to percentage with two‑way checks

Tip: For repeating decimals (like 0.333… or 0.1666…), rounding is applied. The simplified fraction uses the closest rational approximation based on decimal places.

Fraction Concepts

Proper vs Improper

Proper: numerator < denominator (e.g., 3/4). Improper: numerator ≥ denominator (e.g., 9/4).

Mixed Numbers

A whole number and a proper fraction (e.g., 2 1/3). 7/3 = 2 1/3.

Simplifying

Divide numerator & denominator by the greatest common divisor (GCD).

Worked Examples

Fraction → Decimal/Percent

3/8 = 0.375 = 37.5%

7/20 = 0.35 = 35%

Decimal → Fraction

0.2 = 2/10 → 1/5

0.125 = 125/1000 → 1/8

Tips & Best Practices

Keep Signs Clear

-3/4 and 3/‑4 both equal −3/4. Keep a single negative sign in the numerator.

Reduce First

Reducing to lowest terms makes comparisons and further operations easier.

Rounding

Percentages/decimals may be rounded for readability. The simplified fraction preserves exactness.

How to Convert Fractions

Fraction → Decimal

Divide the numerator by the denominator. Example: 3/4 = 0.75

Decimal → Fraction

Use place value (0.25 = 25/100) then simplify to lowest terms → 1/4.

Fraction ↔ Percentage

Multiply decimal by 100 to get percent; divide percent by 100 to get decimal.

Tip

Always simplify fractions by dividing numerator and denominator by their GCD.

Common Fraction Examples

1/2 = 0.5 = 50%
1/3 ≈ 0.3333 = 33.33%
2/5 = 0.4 = 40%