1. What is Mixed Number × Rational Fraction?

This calculator multiplies a mixed number (a whole number and a proper fraction) by a rational fraction. The result is simplified to its lowest terms and presented as both a mixed number and an improper fraction.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

• \( m \) — Whole number part
• \( \frac{n}{o} \) — Fractional part of mixed number
• \( \frac{p}{q} \) — Rational fraction to multiply by

Explanation: The mixed number is first converted to an improper fraction, then multiplied by the rational fraction, and finally simplified.

3. Importance of Fraction Multiplication

Details: Multiplying mixed numbers by fractions is essential in various mathematical applications including scaling recipes, calculating proportions, and solving algebraic equations.

4. Using the Calculator

Tips: Enter the whole number, numerator and denominator for the mixed number, and numerator and denominator for the rational fraction. All denominators must be positive integers.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is an improper fraction?
A: The calculator shows both the simplified mixed number form (if applicable) and the improper fraction form.

Q2: Can I enter negative numbers?
A: This calculator is designed for positive numbers only. Negative values will be converted to positive.

Q3: How is the fraction simplified?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by it.

Q4: What if I enter 0 as whole number?
A: This is valid - it means you're multiplying a proper fraction by another fraction.

Q5: What's the maximum number size?
A: The calculator can handle numbers up to PHP's integer limits (typically ±2 billion).