Fraction to Decimal Converter

Convert fractions to decimals and back instantly.

=
0.25
25%

Steps

1 ÷ 4 = 0.25

The Complete Guide to Fractions & Decimals

Fractions and decimals are two different ways to represent the same thing: a part of a whole. Understanding how to convert between them is essential for everything from solving math homework to adjusting cooking recipes and calculating financial interest.

Fraction Basics

A fraction consists of two numbers separated by a line:

  • Numerator (Top): How many parts you have.
  • Denominator (Bottom): How many total parts make a whole.

Example: In 3/4, you have 3 parts out of 4 total.

Decimal Basics

Decimals use a point to separate the whole number from the fractional part. It is based on powers of 10.

  • 0.1: One tenth (1/10).
  • 0.01: One hundredth (1/100).

Example: 0.75 is 75 hundredths.

How to Convert Manually

Fraction to Decimal

Simply divide the numerator by the denominator.

1/4 = 1 ÷ 4 = 0.25

If you have a mixed number like 2 1/2, keep the whole number (2) and divide the fraction (1 ÷ 2 = 0.5), then combine them (2.5).

Decimal to Fraction

  1. Write the decimal as a fraction over 1 (e.g., 0.75 / 1).
  2. Multiply both top and bottom by 10 for every digit after the decimal point. (0.75 has 2 digits, so multiply by 100). Result: 75/100.
  3. Simplify the fraction by dividing both by the Greatest Common Divisor (GCD). 75÷25=3, 100÷25=4. 3/4.

Real-World Uses

Math FAQ

How to convert a fraction to a decimal?

Divide the numerator (top number) by the denominator (bottom number). Example: 1/4 = 1 ÷ 4 = 0.25.

How to convert a decimal to a fraction?

Write the decimal as a fraction over 1 (e.g., 0.5/1), multiply top and bottom by 10 for every decimal place, and simplify.

What is 1/2 as a decimal?

1/2 is equal to 0.5.

What is 1/4 as a decimal?

1/4 is equal to 0.25.

What is 3/4 as a decimal?

3/4 is equal to 0.75.

What is 1/8 as a decimal?

1/8 is equal to 0.125.

What is 1/3 as a decimal?

1/3 is approximately 0.333... (repeating).

How to simplify fractions?

Find the Greatest Common Divisor (GCD) of the numerator and denominator and divide both by it.

What is a mixed number?

A mixed number combines a whole number and a fraction, like 1 1/2.

Convert mixed numbers to decimals?

Convert the fraction part to a decimal and add it to the whole number. Example: 1 1/4 = 1 + 0.25 = 1.25.

What is an improper fraction?

An improper fraction has a numerator larger than or equal to the denominator, e.g., 5/4.

Improper fraction to mixed number?

Divide the numerator by the denominator. The whole number result is the whole part, and the remainder is the new numerator.

Convert repeating decimals?

Yes, but it requires specific algebraic steps. For example, 0.333... = 1/3.

What is 0.1 as a fraction?

0.1 is 1/10.

What is 0.01 as a fraction?

0.01 is 1/100.

What is 0.5 as a fraction?

0.5 is 1/2.

What is 0.75 as a fraction?

0.75 is 3/4.

What is 0.2 as a fraction?

0.2 is 1/5.

Is 0 a fraction?

0 can be written as 0/1, 0/2, etc., so yes, it can be expressed as a fraction.

Can a denominator be 0?

No, division by zero is undefined.

What is the numerator?

The top number in a fraction.

What is the denominator?

The bottom number in a fraction.

How to add fractions?

Find a common denominator, add the numerators, and simplify.

How to subtract fractions?

Find a common denominator, subtract the numerators, and simplify.

How to multiply fractions?

Multiply numerators together and denominators together, then simplify.

How to divide fractions?

Flip the second fraction (reciprocal) and multiply.

What is a reciprocal?

A reciprocal is created by swapping the numerator and denominator. The reciprocal of 2/3 is 3/2.

Is 3.14 a fraction?

3.14 can be written as 314/100, which simplifies to 157/50.

What is Pi as a fraction?

Pi is irrational and cannot be exactly expressed as a fraction, but 22/7 is a common approximation.

What is a terminating decimal?

A decimal that ends, like 0.5 or 0.125.

What is a repeating decimal?

A decimal that goes on forever with a repeating pattern, like 0.333...

How to convert percentage to fraction?

Put the percentage number over 100 and simplify. 50% = 50/100 = 1/2.

How to convert fraction to percentage?

Convert to decimal then multiply by 100. 1/4 = 0.25 = 25%.

What is the lowest common denominator?

The smallest number that can be exactly divided by all the denominators in a set of fractions.

Why do we simplify fractions?

To make them easier to understand and work with. 1/2 is clearer than 50/100.

What is 0.001 as a fraction?

0.001 is 1/1000.

Is this tool free?

Yes, N28 offers this calculator for free.

Does it work on mobile?

Yes, the tool is fully responsive.

Can I copy the result?

Yes, results are instantly copyable.

Does it show steps?

Yes, the tool breaks down the conversion process.