# Fraction to Decimal & Percentage Converter

Convert any fraction to its decimal and percentage equivalent instantly. Also simplifies fractions and shows mixed numbers. Free online fraction converter.

## What this calculates

Convert any fraction to a decimal, percentage, simplified form, or mixed number with this free online tool. Simply enter the numerator and denominator, and the converter instantly displays all representations of your fraction.

## Inputs

- **Numerator** — The top number of the fraction.
- **Denominator** — The bottom number of the fraction (cannot be zero).

## Outputs

- **Decimal** — The fraction expressed as a decimal number.
- **Percentage** — The fraction expressed as a percentage.
- **Simplified Fraction** — formatted as text — The fraction reduced to its simplest form.
- **Mixed Number** — formatted as text — The fraction expressed as a mixed number (if applicable).

## Details

Fractions, decimals, and percentages are three different ways to express the same value. Being able to convert between them is a fundamental math skill used throughout education, science, finance, and everyday life.

Conversion Formulas

- Fraction to Decimal: Divide the numerator by the denominator. For example, 3/4 = 3 divided by 4 = 0.75.

- Fraction to Percentage: Convert to decimal, then multiply by 100. For example, 3/4 = 0.75 x 100 = 75%.

- Simplifying a Fraction: Divide both numerator and denominator by their Greatest Common Divisor (GCD). For example, 6/8: GCD(6,8) = 2, so 6/8 = 3/4.

- Mixed Numbers: When the numerator is larger than the denominator (improper fraction), divide to get the whole number and remainder. For example, 7/3 = 2 with remainder 1, so 7/3 = 2 1/3.

This converter handles positive and negative fractions, reduces them to simplest form, and provides the mixed number representation when applicable.

## Frequently Asked Questions

**Q: How do I convert a fraction to a decimal?**

A: Divide the numerator (top number) by the denominator (bottom number). For example, 5/8 = 5 divided by 8 = 0.625. Some fractions produce repeating decimals, such as 1/3 = 0.33333...

**Q: How do I convert a fraction to a percentage?**

A: First convert the fraction to a decimal by dividing the numerator by the denominator, then multiply by 100. For example, 3/5 = 0.6, and 0.6 x 100 = 60%. So 3/5 = 60%.

**Q: What is a simplified fraction?**

A: A simplified (or reduced) fraction is one where the numerator and denominator share no common factors other than 1. To simplify, find the Greatest Common Divisor (GCD) of both numbers and divide each by it. For example, 12/18: GCD is 6, so 12/18 = 2/3.

**Q: What is a mixed number?**

A: A mixed number combines a whole number with a proper fraction. It is used when the numerator is larger than the denominator (improper fraction). For example, 11/4 as a mixed number is 2 3/4, because 4 goes into 11 twice with 3 remaining.

**Q: Can this converter handle negative fractions?**

A: Yes. If either the numerator or denominator is negative, the result will be negative. If both are negative, they cancel out and the result is positive. The simplified fraction always places the negative sign on the numerator for clarity.

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Source: https://vastcalc.com/calculators/math/fraction
Category: Math
Last updated: 2026-04-21