1. What is Decimal to Fraction Conversion?

Decimal to fraction conversion is the process of expressing a decimal number as a simplified fraction (a ratio of two integers). This calculator converts decimal numerators and denominators to their simplest fractional form.

2. How Does the Calculator Work?

The calculator uses the following process:

Where:

• \( a \) — Decimal numerator
• \( b \) — Decimal denominator
• \( g \) — Greatest common divisor of a and b

Steps:

1. Convert decimals to integers by multiplying by appropriate power of 10
2. Find the greatest common divisor (GCD) of numerator and denominator
3. Divide both numerator and denominator by the GCD

3. Importance of Simplifying Fractions

Details: Simplified fractions are easier to work with in calculations and provide the most reduced form of a ratio. They are essential in mathematics, engineering, and various scientific applications.

4. Using the Calculator

Tips: Enter decimal values for both numerator and denominator. The denominator must be greater than zero. The calculator will automatically convert to integers and simplify.

5. Frequently Asked Questions (FAQ)

Q1: What if my decimal has many digits?
A: The calculator will multiply by an appropriate power of 10 to convert to integers before simplifying.

Q2: Can I use negative numbers?
A: The numerator can be negative, but the denominator must be positive.

Q3: What's the maximum number of decimal places supported?
A: The calculator can handle up to 6 decimal places accurately.

Q4: Why is the GCD important?
A: The GCD determines the largest number that divides both numerator and denominator, ensuring the fraction is in its simplest form.

Q5: What if I get a denominator of 1?
A: This means your decimal is equivalent to a whole number (integer).