1. What is Fraction Division?

Fraction division is a mathematical operation where one fraction is divided by another. The operation is equivalent to multiplying the first fraction by the reciprocal of the second fraction.

2. How Does the Calculator Work?

The calculator uses the fraction division formula:

Where:

• \( a \) — Numerator of the first fraction
• \( b \) — Denominator of the first fraction
• \( c \) — Numerator of the second fraction
• \( d \) — Denominator of the second fraction

Explanation: Dividing by a fraction is the same as multiplying by its reciprocal (flipped version).

3. Importance of Fraction Division

Details: Fraction division is fundamental in mathematics, used in algebra, calculus, and real-world applications like scaling recipes, calculating rates, and solving proportions.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator shows the result in fraction form, simplified form (if possible), and decimal approximation.

5. Frequently Asked Questions (FAQ)

Q1: Why do we flip the second fraction when dividing?
A: Dividing by a fraction is equivalent to multiplying by its reciprocal, which makes the calculation simpler to perform.

Q2: What if one of the denominators is zero?
A: Division by zero is undefined. The calculator will not produce a result if any denominator is zero.

Q3: Can I enter mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 2½ becomes 5/2).

Q4: How does the simplification work?
A: The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by it.

Q5: Can I use negative numbers?
A: Yes, negative fractions are valid. The calculator will handle the sign correctly in the result.