Decimal to Fraction Calculator

Turning Decimals into Fractions, One Calculation at a Time! Decimal to Fraction Calculator

Decimal to Fraction Calculator


What is the Decimal to Fraction Calculator?

The Decimal to Fraction Calculator is a handy tool that allows you to convert decimal numbers into equivalent fractions or mixed numbers. Whether you're dealing with repeating decimals or non-repeating ones, this calculator can help you find the fractional representation.

How it Works:

  1. Enter a Decimal Number: Input the decimal number you want to convert.
  2. Specify Repeating Decimals (if applicable): If your decimal has repeating digits, indicate how many decimal places repeat.
  3. Get the Answer: The calculator will provide the fraction or mixed number corresponding to your decimal input.

Example:

Suppose we have the decimal 1.625. Here's how we convert it to a fraction:

  1. Rewrite the decimal as a fraction with 1 in the denominator:

    2. 1.625 = 1.625⁄1

  2. Multiply both the numerator and denominator by 1000 to eliminate the decimal places:

    3. 1.625 × 1000 = 1625⁄1000

  3. Reduce the fraction by finding the Greatest Common Factor (GCF) of 1625 and 1000. In this case, the GCF is 125. Divide both numerator and denominator by 125:

    4. 1625⁄125 = 13⁄8

  4. Simplify the improper fraction to a mixed number if possible:

    5. 13⁄8 = 1 5/8

Therefore, 1.625 as a fraction is 13/8 or 1 5/8.

Feel free to use this calculator whenever you need to convert decimals to fractions! 🧮

(1) Decimal to Fraction Calculator. https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php.

(2) Decimal to Fraction Calculator. http://www.alcula.com/calculators/math/decimal-to-fraction/.

(3) Decimal to Fraction Calculator. https://www.thecalculatorsite.com/math/decimal-to-fraction.php.

(4) Decimal to Fraction Converter - Convert decimals to fractions. https://www.gigacalculator.com/converters/convert-decimal-to-fraction.php.