1. What is the Fractions Calculator?

The Fractions Calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) on two fractions. It shows both the fractional result in its simplest form and the decimal equivalent.

2. How Does the Calculator Work?

The calculator performs operations using standard fraction arithmetic rules:

Where:

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

3. Fraction Operations Explained

Addition/Subtraction: \[ \frac{a}{b} \pm \frac{c}{d} = \frac{ad \pm bc}{bd} \]
Multiplication: \[ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \]
Division: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

4. Using the Calculator

Tips: Enter numerators and denominators (non-zero), select operation. The calculator shows step-by-step work and simplifies the result.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter zero for denominator?
A: The calculator requires denominators to be non-zero (division by zero is undefined).

Q2: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator to reduce the fraction.

Q3: Can I enter negative fractions?
A: Yes, negative values are allowed for numerators and denominators.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 1½ = 3/2).

Q5: How precise are the results?
A: Results are exact in fractional form and rounded to 4 decimal places for decimal form.