1. What is Mixed Fraction Divided By Fraction?

This calculator performs division of a mixed number by a proper fraction. A mixed number consists of a whole number and a proper fraction (like 2 1/3), while a proper fraction has a numerator smaller than its denominator (like 3/4).

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

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

Explanation: The mixed number is first converted to an improper fraction, then division is performed by multiplying by the reciprocal of the second fraction.

3. Importance of Fraction Division

Details: Understanding fraction division is fundamental in mathematics, especially in algebra, ratios, and real-world applications like cooking, construction, and science.

4. Using the Calculator

Tips: Enter whole numbers for all fields. Denominators must be positive integers. The calculator will simplify the result to its lowest terms.

5. Frequently Asked Questions (FAQ)

Q1: What if my mixed number is negative?
A: Enter the negative sign with the whole number part. The calculator will handle it correctly.

Q2: Can I divide by a mixed number?
A: This calculator specifically divides a mixed number by a proper fraction. For two mixed numbers, convert both to improper fractions first.

Q3: What if I get a negative result?
A: Negative results are valid and indicate the answer is negative. The calculator preserves the sign.

Q4: Why does the calculator simplify the result?
A: Simplified fractions are the standard form and easier to work with in further calculations.

Q5: What if I enter zero for a denominator?
A: The calculator requires denominators to be positive integers. Zero denominators are mathematically undefined.