Decimal to Fraction Calculator
Convert decimals into simplified fractions, mixed numbers, improper fractions, and repeating decimal fractions with clear step-by-step work.
Convert Decimal to Fraction
Enter a decimal like 0.75, 1.625, -2.5, or 0.333.
Step-by-step work
Quick Examples
How to Use This Decimal to Fraction Calculator
Enter your decimal
Type a decimal number such as 0.125, 0.75, 1.625, or -2.5.
Choose repeating digits
Select how many final digits repeat, or leave it as none for a normal decimal.
Click convert
The calculator shows the simplified fraction, mixed number, and GCD.
Check the steps
Read the calculation steps to understand how the fraction was reduced.
What Is Decimal to Fraction Conversion?
Decimal to fraction conversion changes a decimal number into a ratio of two whole numbers. For example, 0.75 becomes 75/100, which reduces to 3/4.
Fractions are useful when you need exact values for math, measurements, recipes, construction, schoolwork, and algebra.
Decimal to Fraction Formula
For a terminating decimal, count the digits after the decimal point. Put the number without the decimal point over 10, 100, 1000, or another power of 10. Then simplify.
Repeating Decimal to Fraction
A repeating decimal has one or more digits that continue forever. For example, 0.666... equals 2/3, and 0.363636... equals 4/11. Use the repeating digits option when the final digits repeat.
Common Decimal to Fraction Table
| Decimal | Fraction |
|---|---|
| 0.125 | 1/8 |
| 0.2 | 1/5 |
| 0.25 | 1/4 |
| 0.333... | 1/3 |
| 0.5 | 1/2 |
| 0.625 | 5/8 |
| 0.75 | 3/4 |
| 0.875 | 7/8 |
| 1.25 | 1 1/4 |
| 2.5 | 2 1/2 |
Frequently Asked Questions
What is a decimal to fraction calculator?
A decimal to fraction calculator converts a decimal number such as 0.75 into a simplified fraction such as 3/4.
How do you convert a decimal to a fraction?
Write the decimal over 1, multiply the numerator and denominator by a power of 10 to remove decimal places, then reduce the fraction using the greatest common divisor.
What is 0.75 as a fraction?
0.75 as a fraction is 3/4. It starts as 75/100, then both numbers are divided by 25.
Can this calculator convert repeating decimals?
Yes. Enter the decimal and choose how many final digits repeat. For example, enter 0.6 and choose 1 repeating digit to get 2/3.
What is the difference between an improper fraction and a mixed number?
An improper fraction has a numerator larger than the denominator, such as 13/8. A mixed number writes the same value with a whole number and a fraction, such as 1 5/8.