1. What is Rational to Decimal Conversion?

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. Converting a rational number to decimal form involves dividing the numerator by the denominator.

2. How Does the Calculator Work?

The calculator uses the simple division formula:

Where:

• \( p \) — Numerator (integer)
• \( q \) — Denominator (non-zero integer)

Explanation: The calculator performs the division of the numerator by the denominator and displays the result in decimal form.

3. Importance of Decimal Conversion

Details: Decimal representation of rational numbers is often more intuitive for calculations and comparisons in real-world applications. It helps in understanding the exact value of fractions.

4. Using the Calculator

Tips: Enter any integer for the numerator and any non-zero integer for the denominator. The calculator will perform the division and show the decimal result.

5. Frequently Asked Questions (FAQ)

Q1: What happens if I enter 0 as denominator?
A: Division by zero is undefined. The calculator will not display a result if denominator is zero.

Q2: How precise are the results?
A: Results are rounded to 6 decimal places for clarity.

Q3: Can I convert repeating decimals back to fractions?
A: Yes, but this calculator only converts fractions to decimals, not vice versa.

Q4: What's the difference between terminating and repeating decimals?
A: Terminating decimals have finite digits, while repeating decimals have an infinite repeating pattern.

Q5: Are all rational numbers either terminating or repeating decimals?
A: Yes, this is a fundamental property of rational numbers.