Simple Fraction Calculator

Fraction Operations:

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

Numerator 1 (a):

Denominator 1 (b):

Operation:

Numerator 2 (c):

Denominator 2 (d):

Result:

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1. What is the Simple Fraction Calculator?

The Simple Fraction Calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in both original and simplified forms.

2. How Does the Calculator Work?

The calculator performs operations according to standard fraction arithmetic rules:

\[ \frac{a}{b} + \frac{c}{d} = \frac{ad + bc}{bd} \] \[ \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \] \[ \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} \] \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

After calculation, 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 many real-world applications including measurements, ratios, and proportional relationships.

4. Using the Calculator

Tips: Enter numerators and denominators (must be non-zero for denominators), select an operation, and click Calculate. The result will be shown in both original and simplified forms.

5. Frequently Asked Questions (FAQ)

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

Q2: How are negative fractions handled?
A: Negative signs can be placed on either numerator or denominator (but not both). The calculator will properly handle negative values.

Q3: What's the maximum size of numbers I can enter?
A: The calculator can handle reasonably large numbers, but extremely large values may cause calculation errors.

Q4: Does the calculator show decimal equivalents?
A: Currently it only shows fractional results. You can convert the final fraction to decimal manually if needed.

Q5: Can I use this for mixed numbers?
A: For mixed numbers, convert them to improper fractions first before using this calculator.