Decimal to Fraction Converter | Convert Decimal Numbers to Fractions

Convert any decimal number to a fraction with our free online calculator. Get simplified fractions, mixed numbers, and step-by-step explanations for decimal to fraction conversion.

Convert Decimal to Fraction

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Common Decimal to Fraction Conversions

0.5 = 1/2

(one half)

0.25 = 1/4

(one quarter)

0.75 = 3/4

(three quarters)

0.333 = 1/3

(one third)

0.667 = 2/3

(two thirds)

0.2 = 1/5

(one fifth)

0.4 = 2/5

(two fifths)

0.6 = 3/5

(three fifths)

0.8 = 4/5

(four fifths)

How to Convert Decimals to Fractions

Method 1: Moving Decimal Point

1. Multiply the decimal by a power of 10 to remove the decimal point
2. Use the same power of 10 as the denominator
3. Simplify the fraction by finding the GCD
4. Reduce the fraction to lowest terms

Method 2: Using Fractions

1. Write the decimal as a fraction over 1
2. Multiply both top and bottom by appropriate power of 10
3. Find the GCD of numerator and denominator
4. Divide both numbers by the GCD

Example Conversions

Decimal	Steps	Final Fraction
0.75	0.75 × 100 = 75/100 ÷ 25 = 3/4	3/4
0.5	0.5 × 10 = 5/10 ÷ 5 = 1/2	1/2
0.125	0.125 × 1000 = 125/1000 ÷ 125 = 1/8	1/8

Tips for Converting Decimals to Fractions

Terminating vs. Repeating Decimals

Terminating decimals (like 0.5) convert to simpler fractions than repeating decimals (like 0.333...)

Mixed Numbers

For decimals greater than 1, convert to mixed numbers for clearer representation

Simplification

Always simplify fractions by dividing both numerator and denominator by their GCD