Fraction to Decimal Calculator

Convert any fraction to its decimal equivalent. See step-by-step long division, identify terminating vs repeating decimals, and visualize on a number line.

📐 Fraction to Decimal Calculator
Result
Visual Diagram
Definition

What is Fraction to Decimal Calculator?

A Fraction to Decimal Calculator converts a fraction (numerator/denominator) into its decimal equivalent by performing division. The numerator is divided by the denominator to produce the decimal value.

Fraction-to-decimal conversion produces two types of results: terminating decimals (like 1/4 = 0.25) that end, and repeating decimals (like 1/3 = 0.333...) that have an infinitely repeating pattern.

A fraction produces a terminating decimal when the denominator (in simplest form) has only 2 and 5 as prime factors. All other fractions produce repeating decimals.

Interactive Visualization
Formula

Fraction to Decimal Calculator Formula

Decimal = Numerator ÷ Denominator

Steps:

  1. Divide the numerator by the denominator
  2. If the division terminates, the result is a terminating decimal
  3. If the division produces a repeating pattern, note the repeating digits

Examples:

  • 1/4 = 1 ÷ 4 = 0.25 (terminating)
  • 1/3 = 1 ÷ 3 = 0.333... (repeating)
  • 5/8 = 5 ÷ 8 = 0.625 (terminating)
Examples

Worked Examples

3/4 to decimal

3 ÷ 4 = 0.75 (terminating decimal).

1/6 to decimal

1 ÷ 6 = 0.1666... (repeating decimal, 6 repeats).

7/8 to decimal

7 ÷ 8 = 0.875 (terminating decimal).

2/11 to decimal

2 ÷ 11 = 0.181818... (repeating, "18" repeats).

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➕ Fraction Addition a/b + c/d ➖ Fraction Subtraction a/b - c/d ✖️ Fraction Multiplication a/b × c/d ➗ Fraction Division a/b ÷ c/d ⚡ Fraction Exponent (a/b)ⁿ
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Convert fractions to and from decimal numbers, percentages, and ratios.

🔢 Fraction to Decimal Fraction → 0.5 🔀 Decimal to Fraction 0.5 → Fraction 📊 Fraction to Percent Fraction → 50% 📈 Percent to Fraction 50% → Fraction ⚖️ Ratio to Fraction Ratio → Fraction
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FAQ

Frequently Asked Questions

Common questions about the fraction to decimal calculator.

Divide the numerator by the denominator. Example: 3/8 → 3 ÷ 8 = 0.375.

A terminating decimal has a finite number of digits after the decimal point. Examples: 1/2 = 0.5, 3/4 = 0.75, 7/8 = 0.875. A fraction terminates if the denominator (in simplest form) has only factors of 2 and/or 5.

A repeating decimal has one or more digits that repeat infinitely. Examples: 1/3 = 0.333..., 1/7 = 0.142857142857..., 1/6 = 0.1666...

Simplify the fraction first. If the denominator has only 2s and 5s as prime factors, the decimal terminates. Otherwise, the decimal repeats. Example: 1/8 terminates (8 = 2³), but 1/7 repeats.

1/7 = 0.142857142857... The six digits 142857 repeat infinitely. This is one of the most famous repeating decimals.