Decimal to Fraction Calculator

Convert any decimal to a simplified fraction — instantly and free

Common decimals
Simplified Fraction
1
2
0.5 = 1/2
Percent50%
Original Fraction5/10
Mixed Number1/2
GCD Used5
📐

Your steps: 0.5 × 10/10 = 5/10 → GCD(5,10)=5 → 1/2

How to Convert Decimal to Fraction

Fraction = Decimal × 10ⁿ / 10ⁿ → Simplify by GCD
where n = number of decimal places
1Count decimal places — e.g., 0.625 has 3 decimal places
2Multiply top and bottom by 10³ = 1000625/1000
3Find GCD of 625 and 1000 → GCD = 125
4Divide both by GCD → 625÷125 / 1000÷125 = 5/8

Common Decimal to Fraction Chart

DecimalFractionSimplifiedPercent
0.11/101/1010%
0.111…≈ 111/10001/911.11%
0.125125/10001/812.5%
0.22/101/520%
0.2525/1001/425%
0.333…≈ 333/1000≈ 1/333.33%
0.375375/10003/837.5%
0.55/101/250%
0.625625/10005/862.5%
0.666…≈ 666/1000≈ 2/366.67%
0.68756875/1000011/1668.75%
0.7575/1003/475%
0.875875/10007/887.5%

Fractions in Sixteenths — Popular in Engineering

The 16ths series is commonly searched for machining, woodworking, and measurement conversions.

DecimalFractionPercent
0.06251/166.25%
0.1252/16 = 1/812.5%
0.18753/1618.75%
0.254/16 = 1/425%
0.31255/1631.25%
0.3756/16 = 3/837.5%
0.43757/1643.75%
0.58/16 = 1/250%
0.56259/1656.25%
0.62510/16 = 5/862.5%
0.687511/1668.75%
0.7512/16 = 3/475%
0.812513/1681.25%
0.87514/16 = 7/887.5%
0.937515/1693.75%

Frequently Asked Questions

What is 0.5 as a fraction?

0.5 as a fraction is 1/2. Write 0.5 as 5/10, then simplify: GCD(5,10)=5, so 5÷5 / 10÷5 = 1/2. In other words, 0.5 is exactly one half.

What is 0.75 as a fraction?

0.75 as a fraction is 3/4. Write as 75/100, GCD(75,100)=25, so 75÷25 / 100÷25 = 3/4. That's three-quarters, or 75%.

What is 0.625 as a fraction?

0.625 as a fraction is 5/8. Write as 625/1000, GCD(625,1000)=125, so 625÷125 / 1000÷125 = 5/8. This equals 62.5%.

What is 0.6875 as a fraction?

0.6875 as a fraction is 11/16. Write as 6875/10000, GCD=625, so 11/16. This is 68.75% and a standard fractional inch in engineering.

What is 0.333 as a fraction?

0.333 (not repeating) = 333/1000. The true repeating 0.333… = exactly 1/3. Since 1/3 cannot be written as a finite decimal, entering 0.333 gives the closest finite approximation.

How do you simplify a fraction using GCD?

GCD is the largest number that divides both top and bottom evenly. Example: GCD(625,1000)=125. Divide both: 625÷125=5, 1000÷125=8. Result: 5/8. Our calculator uses the Euclidean algorithm automatically.

What is a mixed number?

A mixed number combines a whole number with a fraction. 1.75 = 7/4 as an improper fraction, but 1 3/4 as a mixed number. Easier to read when the value is greater than 1.

What is 0.25 as a fraction?

0.25 as a fraction is 1/4. Write as 25/100, GCD=25, so 25÷25 / 100÷25 = 1/4. That's one-quarter, or 25%.

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