Fraction to Decimal Converter

Convert fractions to decimals and decimals to fractions. Shows step-by-step conversion with repeating decimals.

Numerator

Denominator

How to Use the Fraction to Decimal Converter

Enter a numerator and denominator to instantly convert any fraction to its decimal equivalent. The calculator also simplifies the fraction to its lowest terms by finding the greatest common divisor. You can also switch to decimal-to-fraction mode to convert any decimal number back into a fraction.

Understanding Fractions and Decimals

Fractions and decimals are two ways of representing the same values. Fractions express a part of a whole using two numbers separated by a line, while decimals use a base-10 place value system. Being able to convert between them is a fundamental math skill used in cooking, construction, finance, and everyday calculations.

Frequently Asked Questions

How do I convert a fraction to a decimal?

Divide the numerator (top number) by the denominator (bottom number). For example, 3/4 = 3 ÷ 4 = 0.75.

How do I convert a decimal to a fraction?

Write the decimal over a power of 10 (e.g., 0.75 = 75/100), then simplify by dividing both numbers by their greatest common divisor (75/100 = 3/4).

What is a repeating decimal?

A repeating decimal is a decimal number where one or more digits repeat infinitely, like 1/3 = 0.3333... This is written with a bar over the repeating digit(s).

Can all fractions be converted to decimals?

Yes, all fractions can be converted to decimals. The result will either terminate (like 1/4 = 0.25) or repeat (like 1/3 = 0.333...).