1. What is Fraction Calculation?

Fraction calculation involves performing arithmetic operations (addition, subtraction, multiplication, division) on two fractions. The result is typically expressed as a simplified fraction.

2. How Does the Calculator Work?

The calculator performs the following operations:

Where:

• \( a \) — Numerator of first fraction
• \( b \) — Denominator of first fraction
• \( c \) — Numerator of second fraction
• \( d \) — Denominator of second fraction
• \( op \) — Operation (+, -, ×, ÷)

Rules:

• Addition/Subtraction: Find common denominator, then add/subtract numerators
• Multiplication: Multiply numerators and denominators
• Division: Multiply by reciprocal of second fraction

3. Importance of Fraction Calculation

Details: Fraction operations are fundamental in mathematics, used in measurements, ratios, probabilities, and many real-world applications like cooking, construction, and finance.

4. Using the Calculator

Tips: Enter numerators and denominators (must be non-zero), select operation. The calculator shows the result in both unsimplified and simplified forms.

5. Frequently Asked Questions (FAQ)

Q1: Why simplify fractions?
A: Simplified fractions are easier to understand and work with, and represent the same value in its most reduced form.

Q2: What if I get a negative denominator?
A: The calculator automatically moves the negative sign to the numerator for standard form.

Q3: Can I enter whole numbers as fractions?
A: Yes, enter them as numerator/1 (e.g., 5 as 5/1).

Q4: How are mixed numbers handled?
A: Convert them to improper fractions first (e.g., 2½ becomes 5/2).

Q5: What about decimal results?
A: The calculator shows fractional results, but you can convert them to decimals by dividing numerator by denominator.