Decimal to Fraction
Convert any decimal number to its simplest fraction form instantly. Free online decimal to fraction converter with step-by-step simplification.
About This Calculator
The Decimal to Fraction Converter instantly converts any decimal number into its simplest fraction form. Whether you are a student learning fraction conversion, a teacher preparing examples, or a professional needing quick conversions, this tool provides accurate results with the numerator and denominator clearly displayed.
To convert a decimal to a fraction, multiply by a power of 10 to eliminate the decimal point, creating a fraction. Then simplify by dividing both the numerator and denominator by their greatest common divisor (GCD). For example, 0.75 becomes 75/100, which simplifies to 3/4. The calculator handles terminating decimals up to any practical precision.
Frequently Asked Questions
How do you convert a decimal to a fraction?
Write the decimal as a fraction with denominator 10, 100, 1000, etc. based on the number of decimal places. For example, 0.75 = 75/100. Then simplify by dividing both numerator and denominator by their greatest common divisor (GCD). 75/100 = 3/4.
How do you convert a repeating decimal to a fraction?
Let x equal the repeating decimal. Multiply by a power of 10 to shift the repeating part, subtract to eliminate the repeating digits, then solve for x. For example, x = 0.333..., 10x = 3.333..., subtract: 9x = 3, x = 1/3.
What is the simplest form of a fraction?
A fraction is in simplest form when the numerator and denominator have no common factors other than 1. For example, 3/4 is in simplest form because 3 and 4 share no common factors, but 75/100 is not because both are divisible by 25.
How do you convert 0.5 to a fraction?
0.5 has one decimal place, so write it as 5/10. Simplify by dividing numerator and denominator by 5: 5/10 = 1/2. So 0.5 equals 1/2.
What is 0.125 as a fraction?
0.125 has three decimal places, so write it as 125/1000. Simplify by dividing by 125: 125/1000 = 1/8. So 0.125 equals 1/8.
Is this decimal to fraction converter free?
Yes, all calculators on Calculy are completely free to use with no registration, limits, or hidden charges.