mathematics Verified Precision Tool
Decimal to Fraction Calculator
Convert terminating or repeating decimals into exact simplified fractions.
Calculation Solution
Fraction: 2:3
Decimal Value: 0.666667
Mathematical Formula
Fraction = (Decimal * 10^n) / 10^n simplified by GCD
Overview & Explanation
Converting a decimal to a fraction expresses a decimal number as a ratio of two integers.
How It Works
- Count decimal places n.
- Multiply decimal by 10^n to form numerator.
- Set 10^n as denominator and simplify by GCD.
Practical Applications
- Converting metric measurements to imperial fractional inches.
Worked Example: Convert 0.75 to Fraction
Convert to fraction.
1
Form Initial Fraction
75 / 100
= 75/100
2
Simplify by GCD (25)
(75/25) / (100/25)
= 3/4
Frequently Asked Questions
How do you convert 0.5 to a fraction?
0.5 is equal to 5/10, which simplifies to 1/2.
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