Fraction to Decimal Converter

Convert any fraction to its decimal equivalent with our easy-to-use calculator. Perfect for students, teachers, and anyone working with fractions in daily life.

Enter Fraction

Precision Settings

Quick Examples

Result

0.333333
Rounded to 6 decimal places
Fraction Type

Proper fraction

Decimal Type

Repeating decimal

Percentage

33.33%

Simplified Fraction

Already simplified

How to Convert Fractions to Decimals

Converting fractions to decimals is a fundamental mathematical skill. Our calculator makes this process simple by performing the division automatically and showing you each step. If you need to perform other fraction operations, try our comprehensive fractions calculator for addition, subtraction, multiplication, and division.

Need the reverse conversion? Use our Decimal to Fraction Converter to convert decimal numbers back to fractions.

The Division Method

The most straightforward way to convert a fraction to a decimal is to divide the numerator by the denominator. For example:

  • 1/2 = 1 ÷ 2 = 0.5
  • 3/4 = 3 ÷ 4 = 0.75
  • 1/3 = 1 ÷ 3 = 0.333... (repeating)

Types of Decimal Results

Terminating Decimals

These decimals end after a finite number of digits. Examples: 1/2 = 0.5, 3/8 = 0.375

Repeating Decimals

These decimals have a pattern that repeats infinitely. Examples: 1/3 = 0.333..., 2/7 = 0.285714285714...

Common Fraction to Decimal Conversions

Fraction Decimal Percentage
1/20.550%
1/30.333...33.33%
1/40.2525%
1/50.220%
3/40.7575%
2/30.666...66.67%

Why Convert Fractions to Decimals?

  • Easier Calculations: Decimals are often easier to work with in calculations, especially when using calculators or computers.
  • Real-World Applications: Many measurements and financial calculations use decimal form.
  • Comparison: It's easier to compare the size of numbers when they're in decimal form.
  • Scientific Notation: Scientific calculations often require decimal representations.
  • Technology Integration: Most digital systems work more efficiently with decimal numbers.

Frequently Asked Questions

How do I convert a fraction to a decimal?

To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). For example, 1/2 = 1 ÷ 2 = 0.5. Our calculator does this automatically and shows you each step.

What is the difference between terminating and repeating decimals?

Terminating decimals end after a finite number of digits (like 1/2 = 0.5), while repeating decimals have a pattern that repeats infinitely (like 1/3 = 0.333...). Our calculator identifies both types and shows the appropriate format.

How many decimal places should I use?

It depends on your needs. For everyday calculations, 2-4 decimal places are usually sufficient. For scientific work, you might need 6 or more. Our calculator offers 2, 4, 6 decimal places, or exact representation with repeating patterns.

Can I convert mixed numbers to decimals?

Yes! Enter the whole number, numerator, and denominator in our calculator. For example, 2 1/4 becomes 2.25. The calculator first converts the mixed number to an improper fraction, then to a decimal.

Why do some fractions become repeating decimals?

A fraction becomes a repeating decimal when its denominator (in lowest terms) has prime factors other than 2 and 5. For example, 1/3 repeats because 3 is not divisible by only 2s and 5s.

Is 0.5 the same as 1/2?

Yes, 0.5 and 1/2 represent exactly the same value. They are just different ways to express the same number - one as a decimal and one as a fraction.

How do I convert a decimal back to a fraction?

Use our Decimal to Fraction Converter for easy conversion! It automatically handles decimal numbers and even supports repeating decimal notation like 0.(3) for exact results. For manual conversion, write the decimal as a fraction using decimal places as the denominator, then simplify.

What if my fraction has a zero numerator?

If the numerator is 0, the result will always be 0, regardless of the denominator (as long as the denominator is not zero). For example, 0/5 = 0.