Decimal to Fraction Calculator

Decimal to Fraction Calculator

Convert any decimal number to a fraction in simplest form with our free online calculator. Get improper fractions, mixed numbers, and percentage equivalents instantly.

How to Convert Decimal to Fraction

Step 1: Write the decimal as a fraction with a power of 10 as denominator

Step 2: Simplify the fraction by dividing numerator and denominator by their GCD

Example: Convert 0.75 to a Fraction

Step 1: 0.75 = 75/100
Step 2: GCD of 75 and 100 is 25
Step 3: 75÷25 / 100÷25 = 3/4
Result: 3/4

Example: Convert 2.5 to a Mixed Number

Step 1: 2.5 = 25/10 = 5/2 (improper)
Step 2: 5÷2 = 2 remainder 1
Result: 2 1/2 (mixed number)

Common Decimal to Fraction Conversions

Decimal	Fraction
0.125	1/8
0.25	1/4
0.333...	1/3
0.375	3/8
0.5	1/2
0.625	5/8
0.667...	2/3
0.75	3/4
0.875	7/8
1	1/1

Types of Fractions

Proper Fraction

Numerator is less than denominator. Example: 3/4

Improper Fraction

Numerator is equal to or greater than denominator. Example: 5/4

Mixed Number

Whole number plus a proper fraction. Example: 1 1/4

Repeating Decimals to Fractions

For repeating decimals like 0.333... = 1/3:

Let x = 0.333...
10x = 3.333...
10x - x = 3
9x = 3
x = 3/9 = 1/3

Applications

• Cooking: Convert recipe measurements
• Construction: Material measurements
• Engineering: Precision calculations
• Education: Learning fractions