Fractions Calculator Net

Fraction Operations:

\[ \frac{a}{b} \text{ [operation] } \frac{c}{d} = \text{result} \]

Numerator 1 (a):

Denominator 1 (b):

Operation:

Numerator 2 (c):

Denominator 2 (d):

Result:

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1. What is the Fractions Calculator?

The Fractions Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in simplified form.

2. How Does the Calculator Work?

The calculator performs fraction operations using standard mathematical rules:

Addition: \(\frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd}\)
Subtraction: \(\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}\)
Multiplication: \(\frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd}\)
Division: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)

After calculation, the result is simplified by dividing numerator and denominator by their greatest common divisor (GCD).

3. Supported Operations

Details: The calculator supports all four basic arithmetic operations on fractions with automatic simplification of results.

4. Using the Calculator

Tips: Enter numerators and denominators (must be non-zero for denominators), select operation, and click Calculate. Results are shown in simplest form.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. It will not accept zero.

Q2: How are negative fractions handled?
A: Negative signs should be placed on the numerator. The calculator will properly handle negative values.

Q3: Does the calculator show decimal equivalents?
A: No, it maintains fractional form. You can divide numerator by denominator for decimal value.

Q4: What if the result is a whole number?
A: The calculator will display it as a whole number (e.g., 4 instead of 4/1).

Q5: Can I use this for mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 1½ becomes 3/2).