Decimal to Fraction Calculator

Convert a decimal to a simplified fraction

Decimal

How to Use This Decimal to Fraction Calculator

Enter your decimal number

Input any decimal value like 0.75, 2.5, or 0.333. The calculator handles both terminating and repeating decimals.

Click Convert

The calculator converts the decimal to a fraction and simplifies it to lowest terms using the greatest common divisor.

Review the result and steps

See the final simplified fraction and the conversion steps showing how the calculation was performed.

Common Decimal to Fraction Conversions

Decimal	Fraction	Percent	Common Use
0.1	1/10	10%	General
0.125	1/8	12.5%	Measurements
0.2	1/5	20%	General
0.25	1/4	25%	Measurements, cooking
0.333...	1/3	33.33%	General
0.5	1/2	50%	Universal
0.625	5/8	62.5%	Measurements
0.75	3/4	75%	Measurements, cooking
0.875	7/8	87.5%	Measurements

Repeating decimals like 0.333... are shown with ellipsis. The calculator converts them to exact fractions (1/3 in this case).

Understanding Decimal to Fraction Conversion

The Conversion Process

To convert a decimal to a fraction, write the decimal as a fraction over 1, then multiply both top and bottom by 10 for each digit after the decimal point. For 0.75: write 0.75/1, multiply by 100/100 to get 75/100, then simplify.

Simplifying Fractions

After converting, divide both numerator and denominator by their greatest common divisor (GCD). For 75/100, the GCD is 25, so 75÷25=3 and 100÷25=4, giving 3/4.

Terminating vs Repeating Decimals

Terminating decimals (0.25, 0.125) convert to exact fractions. Repeating decimals (0.333..., 0.1666...) also convert to exact fractions using algebra: if x = 0.333..., then 10x = 3.333..., so 9x = 3, and x = 1/3.

Mixed Numbers

For decimals greater than 1, like 2.75, separate the whole number from the decimal. Convert 0.75 to 3/4, then combine: 2.75 = 2 and 3/4, or as an improper fraction, 11/4.

Tips for Working with Fractions

Memorize Common Conversions

Know that 0.5=1/2, 0.25=1/4, 0.75=3/4, 0.2=1/5, 0.125=1/8, and 0.333...=1/3. These appear constantly in cooking, measurements, and everyday math.

Use Fractions for Precision

Fractions are exact; decimals often round. 1/3 is exactly one-third, while 0.333 is an approximation. Use fractions when precision matters.

Know When to Use Each Form

Use decimals for money and measurements with metric units. Use fractions for cooking (US), woodworking, and when exact ratios matter.

Check Your Work

Divide the numerator by the denominator to verify. If you converted 0.75 to 3/4, check: 3÷4=0.75. This catches simplification errors.

Frequently Asked Questions

How do I convert a decimal to a fraction?

Count digits after the decimal point. Write the number over 10, 100, 1000, etc. (one zero per digit). Simplify by dividing both by their GCD. Example: 0.75 = 75/100 = 3/4.

What is 0.333 as a fraction?

0.333 (terminating) = 333/1000. But 0.333... (repeating) = 1/3 exactly. The ellipsis matters — repeating decimals have exact fraction forms.

How do I convert a repeating decimal?

Use algebra: if x = 0.333..., then 10x = 3.333.... Subtract: 10x - x = 3.333... - 0.333..., so 9x = 3, and x = 1/3. For 0.1666..., use 100x - 10x to isolate the repeating part.

Can all decimals be converted to fractions?

Terminating and repeating decimals can be converted to exact fractions. Irrational numbers like π or √2 cannot — their decimals never repeat or terminate.

What is 2.5 as a fraction?

2.5 = 25/10 = 5/2 as an improper fraction, or 2 and 1/2 as a mixed number. Both are correct — use improper fractions for calculations, mixed numbers for everyday use.

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