1
Enter the decimal
Type a terminating decimal or wrap the repeating digits in parentheses.
Free Decimal to Fraction Calculator
A decimal to fraction calculator turns terminating and repeating decimals into exact simplified fractions. Enter a value to see the improper fraction, mixed number, reduction steps, and reverse decimal check.
Classroom math support
Turn clear calculation steps into accessible lessons
Use the worked result to support instruction, then bring student goals and accommodations into SPED Lesson Planner for a teacher-reviewed lesson draft.
Decimal input
Enter a decimal
For repeating decimals, put the repeating digits in parentheses. For example, enter 0.1(6) for 0.1666...
Simplified result
0.875 = 0.875
Improper fraction
7/8
Mixed number
7/8
Step-by-step work
- 1. There are 3 decimal places, so use 1000 as the denominator.
- 2. Remove the decimal point to get 875/1000.
- 3. Divide the numerator and denominator by 125 to get 7/8.
- 4. Check: 7/8 = 0.875.
How to Convert a Decimal to a Fraction
2
Build the fraction
Use place value for terminating decimals or cancellation for repeating decimals.
3
Reduce and verify
Divide by the greatest common factor and check the result as a decimal.
Decimal to Fraction Calculator FAQ
How do you convert a decimal to a fraction?
Write the decimal digits over a power of 10 based on the number of decimal places, then divide the numerator and denominator by their greatest common factor.
How do you enter a repeating decimal?
Put only the repeating digits in parentheses. Enter 0.(3) for 0.333..., 0.1(6) for 0.1666..., or 1.2(34) for 1.2343434....
Can every terminating decimal be written as a fraction?
Yes. Every terminating decimal is a rational number because it can be written as an integer divided by a power of 10 and then simplified.
Can every repeating decimal be written as a fraction?
Yes. A repeating decimal is rational. Multiplying by powers of 10 and subtracting cancels the repeating digits and produces an exact fraction.
What is 0.875 as a fraction?
0.875 is 875/1000. Divide both numbers by 125 to simplify the fraction to 7/8.