1. What is Fraction Calculation?

Fraction calculation involves performing arithmetic operations (addition, subtraction, multiplication, division) on fractions. The calculator shows each step of the process to help understand how the result is obtained.

2. How Does the Calculator Work?

The calculator performs operations on two fractions a/b and c/d:

Where:

• a — Numerator of first fraction
• b — Denominator of first fraction (must be positive)
• c — Numerator of second fraction
• d — Denominator of second fraction (must be positive)
• operation — One of: +, -, ×, ÷

3. Types of Fraction Operations

Addition/Subtraction: Finds common denominator, converts fractions, then adds/subtracts numerators.

Multiplication: Multiplies numerators and denominators directly.

Division: Multiplies by reciprocal of second fraction.

4. Using the Calculator

Tips: Enter numerators and denominators (denominators must be positive integers). The calculator will show each step and simplify the final result.

5. Frequently Asked Questions (FAQ)

Q1: Why do we need common denominators for addition?
A: Fractions can only be directly added/subtracted when they have the same denominator, as this represents equal-sized parts.

Q2: How does fraction simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator, then divides both by this number.

Q3: Can I enter negative fractions?
A: Yes, but only numerators can be negative. The negative sign will be applied to the whole fraction.

Q4: What if my result denominator is 1?
A: The calculator will display the result as a whole number (e.g., 5/1 becomes 5).

Q5: Why flip the second fraction for division?
A: Dividing by a fraction is equivalent to multiplying by its reciprocal (a/b ÷ c/d = a/b × d/c).