Fraction to Decimal

Convert fractions to decimals instantly. Free fraction to decimal converter with step-by-step explanation.

Convert fractions to decimals instantly. Free fraction to decimal converter with step-by-step explanation.

Max 9 digits
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Try:
help_outlineHow to Useexpand_more
  1. Enter the numerator (top number) of your fraction
  2. Enter the denominator (bottom number) of your fraction
  3. Select decimal precision if needed (Auto, 2, 4, 6, 8, or 10 places)
  4. Click "Convert" or the result updates automatically
  5. View the decimal, percentage, simplified fraction, and decimal type
infoWhat is Fraction to Decimal?expand_more

Convert a fraction to a decimal with step-by-step solutions. This calculator handles both proper fractions (like 1/4) and improper fractions (like 7/3), showing you exactly how the conversion works.

In a fraction, the fraction bar means "divided by." So to find the decimal equivalent of a fraction like 1/4, you need to solve: 1 divided by 4.

1 ÷ 4 = 0.25

functionsFormulaexpand_more

Basic Formula:

Decimal = Numerator ÷ Denominator

How to Set Up the Division:

Put the numerator (top number) inside the division and the denominator (bottom number) outside. The fraction 1/4 becomes 1 ÷ 4.

Simplify First (Optional):

You can reduce the fraction to lowest terms first to make the math easier. For example, 9/12 = 9 ÷ 12 = 0.75. But reducing 9/12 = 3/4 makes it simpler — you may even recognize that 3/4 = 0.75 because 3 quarters equals 75 cents.

lightbulbExamplesexpand_more

Common fraction to decimal conversions:

1/2 = 0.5

Terminating

1/3 = 0.333...

Repeating

3/4 = 0.75

Terminating

2/3 = 0.666...

Repeating

5/8 = 0.625

Terminating

1/7 = 0.142857...

Repeating

quizFAQexpand_more
What is a terminating decimal?expand_more
A terminating decimal has a finite number of digits after the decimal point (like 0.5, 0.75, or 0.125). A fraction produces a terminating decimal only when its denominator (in lowest terms) has only 2 and/or 5 as prime factors. Examples: 1/2, 1/4, 1/5, 1/8, 3/20 all produce terminating decimals.
What is a repeating decimal?expand_more
A repeating decimal has one or more digits that repeat infinitely. For example, 1/3 = 0.333... and 1/7 = 0.142857142857... The repeating part is often written with a bar over the repeating digits (0.3̄) or with ellipsis (0.333...).
How do I convert an improper fraction to a decimal?expand_more
The same way as a proper fraction — divide the numerator by the denominator. For example, 7/4 = 7 ÷ 4 = 1.75. The result will be greater than 1 for improper fractions.
Can I convert a ratio to a decimal?expand_more
Yes! A ratio like 3:4 can be written as the fraction 3/4, which equals 0.75. Simply treat the first number as the numerator and the second as the denominator.
How do I convert a decimal back to a fraction?expand_more
Write the decimal over a power of 10 based on the number of decimal places, then simplify. For example, 0.75 = 75/100 = 3/4. Use our Decimal to Fraction calculator for automatic conversion.