Decimal to Fraction Calculator
Convert decimal numbers to fractions or mixed numbers online.
About Decimal to Fraction Calculator
Our Decimal to Fraction Calculator helps you convert decimal numbers, including repeating decimals, to fractions or mixed numbers. It simplifies the process of converting decimals to their fractional equivalents.
Why Use This Calculator?
Converting decimals to fractions manually can be time-consuming and error-prone. This calculator automates the process, providing accurate results instantly. It's useful for students, teachers, and anyone needing to work with decimals and fractions.
How the Formulas Work:
This calculator uses the following steps:
- Input Parsing: The input decimal number and the number of repeating decimal places are parsed.
- Fraction Conversion: The decimal number is converted to a fraction or mixed number.
- Repeating Decimal Handling: If repeating decimals are detected, the calculator applies the appropriate formula to convert them to fractions.
- Output: The resulting fraction or mixed number is displayed.
Formulas:
- Non-repeating Decimal: If the decimal is $d$, with $n$ decimal places, the fraction is $\frac{d \times 10^n}{10^n}$.
- Repeating Decimal: For a repeating decimal $0.\overline{a}$, the fraction is $\frac{a}{10^r - 1}$, where $r$ is the number of repeating digits. For example $0.\overline{3} = \frac{3}{9} = \frac{1}{3}$.
Key Features
- Handles Repeating Decimals: Converts repeating decimals to fractions.
- Accurate Results: Provides precise fractional equivalents.
- Easy-to-Use Interface: Simple and intuitive design.
- Free and Online: Accessible from any device without installation.
Benefits
- Saves Time: Quickly convert decimals to fractions.
- Reduces Errors: Avoid manual calculation mistakes.
- Improves Understanding: Learn how to convert decimals to fractions efficiently.
Use our Decimal to Fraction Calculator to easily convert decimals to fractions or mixed numbers. This tool is useful for various mathematical tasks.