1. What is Decimal to Fraction Conversion?

Decimal to fraction conversion is the process of expressing a decimal number as a fraction (a ratio of two integers). This is useful in mathematics and various applications where exact fractional representations are preferred over decimal approximations.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( d \) — Decimal value (unitless)
• \( a \) — Numerator (unitless)
• \( b \) — Denominator (unitless)

Explanation: The decimal value is obtained by dividing the numerator by the denominator. The result shows the fractional representation in decimal form.

3. Importance of Decimal-Fraction Conversion

Details: Converting between decimals and fractions is essential for precise mathematical operations, engineering calculations, and when working with measurements that require exact ratios.

4. Using the Calculator

Tips: Enter the numerator and denominator values. The denominator must be non-zero. The calculator will compute the decimal equivalent of the fraction.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: Division by zero is undefined. The denominator must always be a non-zero value.

Q2: How precise is the decimal result?
A: The result is rounded to 4 decimal places for readability, but maintains maximum precision in calculations.

Q3: Can I use negative numbers?
A: The calculator currently only accepts positive numbers for both numerator and denominator.

Q4: What's the difference between exact and approximate fractions?
A: Some fractions have exact decimal representations (like 0.5 for 1/2), while others are repeating decimals (like 0.333... for 1/3).

Q5: How can I simplify fractions?
A: To simplify, divide both numerator and denominator by their greatest common divisor (GCD).