Decimal to Fraction Converter
This tool converts any decimal number—terminating or repeating—into a simplified fraction. It’s ideal for students, teachers, and professionals who need accurate fractional representations of decimal values in math, engineering, or everyday measurements.
Convert Decimal to Simplified Fraction
Decimal to Fraction Conversion Formula
\[
x = 0.75 = \frac{75}{100} = \frac{3}{4} \\[1em]
x = 0.\overline{3} \Rightarrow 10x = 3.\overline{3},\ x = 0.\overline{3} \Rightarrow 10x – x = 9x = 3 \Rightarrow x = \frac{1}{3}
\]
Explanation:
To convert a decimal to a fraction, count the decimal places to determine the denominator (e.g., 0.75 → 100), place the decimal digits in the numerator, then simplify the resulting fraction.
Decimal to Fraction – Calculation Example
Convert: 0.625
- Write as fraction → 625/1000
- Simplify → GCD = 125
- 625 ÷ 125 = 5, 1000 ÷ 125 = 8
- Result: 0.625 =5/8
Converting decimals to fractions is useful in algebra, trigonometry, and measurement systems that rely on fractional inputs. This tool supports both terminating and repeating decimals and shows the simplified result. It’s perfect for educational purposes, technical fields, or real-world scenarios like cooking, construction, and design.