Fraction to Decimal
Convert fractions to decimals instantly. Free fraction to decimal converter with step-by-step explanation.
Convert any fraction to its decimal equivalent. Enter the numerator and denominator below to see the step-by-step conversion process.
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Try:
How to Use
- Enter the numerator (top number) of your fraction
- Enter the denominator (bottom number) of your fraction
- Click "Convert" to see the decimal equivalent
- View the result along with percentage and fraction type
What is Fraction to Decimal?
Converting a fraction to a decimal involves dividing the numerator by the denominator. The result can be either a terminating decimal (like 0.5) or a repeating decimal (like 0.333...). This conversion is useful in mathematics, science, and everyday calculations.
Formula
Decimal = Numerator ÷ Denominator
Example: 3/4 = 3 ÷ 4 = 0.75
Examples
- 1/2 = 0.5 (terminating)
- 3/4 = 0.75 (terminating)
- 1/3 = 0.333... (repeating)
- 5/8 = 0.625 (terminating)
- 7/9 = 0.777... (repeating)
FAQ
What is a terminating decimal?
A terminating decimal is a decimal number that has a finite number of digits after the decimal point. For example, 0.5, 0.75, and 0.125 are terminating decimals. A fraction produces a terminating decimal when its denominator (in lowest terms) has only 2 and 5 as prime factors.
What is a repeating decimal?
A repeating decimal is a decimal number where one or more digits repeat infinitely. For example, 1/3 = 0.333... and 1/7 = 0.142857142857... The repeating part is often shown with a bar over the repeating digits.
How do I convert a decimal back to a fraction?
Use our Decimal to Fraction calculator! Generally, you write the decimal over a power of 10 (based on decimal places) and simplify. For example, 0.75 = 75/100 = 3/4.