Simple Fractions Calculator

Fraction Operations:

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

First Fraction Numerator (a):

First Fraction Denominator (b):

Operation:

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Result:

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1. What is the Simple Fractions Calculator?

The Simple Fractions Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides the result in simplified form, making it useful for students and professionals working with fractional values.

2. How Does the Calculator Work?

The calculator performs the following operations:

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 performing the operation, the result is simplified by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics and essential for various real-world applications including cooking, construction, and scientific measurements.

4. Using the Calculator

Tips: Enter the numerator and denominator for both fractions, select the operation, and click Calculate. All denominators must be positive integers.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a zero denominator?
A: The calculator requires denominators to be positive integers. Division by zero is mathematically undefined.

Q2: How are negative fractions handled?
A: Negative signs should be placed on the numerator. The calculator properly handles negative values in all operations.

Q3: What format is used for mixed numbers?
A: Enter mixed numbers as improper fractions (e.g., 1½ as 3/2). The result will be shown as a simplified fraction or whole number.

Q4: Does the calculator show decimal equivalents?
A: Currently, it only shows fractional results. You can convert the result to decimal by dividing numerator by denominator.

Q5: What's the largest number it can handle?
A: The calculator uses standard PHP integer limits (typically ±2 billion). Very large numbers may cause overflow.