1. What is Fraction Division?

This calculator performs division of a simple fraction by a mixed number. The operation converts the mixed number to an improper fraction, then applies the standard fraction division rule of multiplying by the reciprocal.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a \) — Numerator of the dividend fraction
• \( b \) — Denominator of the dividend fraction
• \( m \) — Whole number part of the divisor mixed number
• \( n \) — Numerator of the divisor fraction part
• \( o \) — Denominator of the divisor fraction part

Explanation: The mixed number \( m \frac{n}{o} \) is first converted to the improper fraction \( \frac{m \times o + n}{o} \), then division becomes multiplication by the reciprocal.

3. Importance of Fraction Division

Details: Understanding fraction division is essential for algebra, chemistry calculations, cooking measurements, and many real-world applications involving ratios and proportions.

4. Using the Calculator

Tips: Enter all required values (must be integers). Denominator values (b and o) must be positive. The calculator shows the unsimplified result, simplified form (if possible), and decimal approximation.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: The calculator only accepts positive inputs, so results will always be positive. For negative numbers, handle the sign separately.

Q2: Why does the denominator become larger?
A: When dividing by a mixed number, you're essentially multiplying by a fraction less than 1, which increases the denominator in the result.

Q3: Can I enter improper fractions?
A: For the mixed number part, enter whole numbers separately. The first fraction can be proper or improper.

Q4: What if my result denominator is 1?
A: This means your result is a whole number. For example, 4/1 = 4.

Q5: How is simplification performed?
A: The calculator uses the greatest common divisor (GCD) to reduce the fraction to its simplest form.