Decimal to Fraction
Convert a decimal number to a simplified fraction. The calculator uses the greatest common divisor to reduce the fraction to its lowest terms. Free online decimal to fraction converter.
Decimal to fraction
Fraction
What is this?
A decimal-to-fraction converter turns a decimal (like 0.75 or 0.333) into a simplified fraction (3/4, 1/3). It uses the greatest common divisor (GCD) to reduce the fraction to lowest terms. The algorithm handles both terminating decimals (like 0.5) and repeating decimals by finding the simplest fraction that equals the given decimal. This is the inverse of the fraction-to-decimal conversion and is useful when fractions are the preferred or required format.
When to use
Use when you need to express a decimal as a fraction for recipes, measurements, or math problems. Example: 0.375 inch = 3/8 inch. Also useful for understanding repeating decimals. Construction and woodworking often use fractional measurements, so converting 0.75 to 3/4 helps when reading a tape measure. Math students use it to verify decimal-to-fraction conversions. Recipe adjustments sometimes require expressing decimal amounts as fractions.
How to use
Enter a decimal number to get the simplified fraction. Uses greatest common divisor to reduce.
Frequently asked questions
- Write the decimal as a fraction with 1 as the denominator, then multiply numerator and denominator by 10 until you have integers. Simplify using the GCD.
- 0.5 = 1/2. Similarly, 0.25 = 1/4 and 0.75 = 3/4.