Decimal to Fraction Calculator - Convert Decimals & Fractions

Q: Why convert decimals to fractions?

Fractions can be more precise and show exact ratios. This is especially useful in cooking, mathematics, or any scenario requiring exact measurements.

Q: How do I convert repeating decimals?

For repeating decimals, an algebraic approach is typically used to find the exact fraction. This calculator focuses on non-repeating decimals.

Q: Can all decimals be converted to a fraction?

Yes, if they're finite or repeating decimals. Non-repeating, non-terminating decimals (like pi) cannot be expressed as a rational fraction.

How Decimal to Fraction Conversion Works

A decimal number (e.g., 0.75) can be converted to a fraction by considering the digits after the decimal point as a ratio. For example, 0.75 = 75/100, which reduces to 3/4. Conversely, a fraction (e.g., 3/4) can be converted to a decimal by dividing the numerator by the denominator.

Examples:

Decimal to Fraction:
0.5 = 5/10 = 1/2

Fraction to Decimal:
3/4 = 0.75

FAQ: Decimal to Fraction

1. Why convert decimals to fractions?

Fractions can be more precise in certain contexts (e.g., cooking, math problems) and often reveal exact relationships (e.g., 0.3333... = 1/3).

2. How do I convert repeating decimals?

This calculator doesn't specifically handle recurring (repeating) decimals. However, you can approximate them or use algebraic methods for an exact fraction.

3. Can all decimals be converted to a fraction?

Yes, if the decimal is finite or has a repeating pattern. Non-repeating, non-terminating decimals (like pi) cannot be expressed as exact fractions.