Decimal to Fraction Calculator
Perform precise calculations with our decimal calculator. Add, subtract, multiply, or divide decimal numbers quickly and accurately for all your numerical needs.
What is Decimal to Fraction Conversion?
Decimal to fraction conversion is the process of rewriting a decimal number as a fraction. For example, 0.75 = 75/100 = 3/4. Results can be expressed as proper, improper, or mixed fractions.
Conversion Formula
Decimal → Fraction Conversion
Step 1:Count the number of decimal places (d).
Step 2:Multiply the decimal by 10^d to remove the decimal.
Step 3:Simplify the numerator and denominator to get the fraction.
Example:
Decimal: 0.75 0.75 × 100 = 75 Fraction = 75 / 100 = 3 / 4
Examples
Decimal to Fraction Calculator
A decimal to fraction calculator converts a decimal number into its equivalent fraction in simplest form.
Mathematically: Decimal ÷ 1 → simplify fraction
Real-Life Example
Suppose you want to convert the decimal 0.75 into a fraction:
- 0.75 = 75/100
- Simplify 75/100: divide numerator and denominator by 25 → 3/4
- Another example: 0.2 = 2/10 → simplify → 1/5
- 0.125 = 125/1000 → simplify → 1/8
Key Insight
Converting decimals to fractions helps in cooking, measurements, and mathematical problems. For instance, 0.75 of a cup of sugar can also be expressed as 3/4 cup.
Proper vs Improper Fractions
- Proper Fraction: Numerator smaller than denominator (e.g., 3/8, 7/10).
- Improper Fraction: Numerator equal to or larger than denominator (e.g., 9/4).
- Mixed Fraction: Improper fraction expressed as a whole number + proper fraction (e.g., 9/4 = 2 1/4).
Applications of Decimal to Fraction Conversion
- Cooking and measuring ingredients.
- Engineering and construction calculations.
- Mathematics and algebra problems.
- Everyday conversions between decimals and fractions.