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How To Do Fractions On A Calculator

Fraction Operations:

\[ \frac{a}{b} \text{ (operator) } \frac{c}{d} = \text{Result} \]

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1. Understanding Fractions

A fraction represents a part of a whole or, more generally, any number of equal parts. It consists of a numerator (top number) and a denominator (bottom number) separated by a fraction bar.

2. Fraction Operations

The calculator performs four basic 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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]

3. How the Calculator Works

Process: The calculator performs the selected operation according to the mathematical rules for fractions, then simplifies the result by dividing both numerator and denominator by their greatest common divisor (GCD).

4. Using the Calculator

Tips: Enter integers for all numerator and denominator values. Denominators cannot be zero. The calculator will automatically simplify the result and show both the fractional and decimal forms.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative denominator?
A: The calculator will automatically move the negative sign to the numerator (e.g., 1/-2 becomes -1/2).

Q2: How are improper fractions handled?
A: Improper fractions (where numerator > denominator) are displayed as-is in simplified form.

Q3: Can I enter mixed numbers?
A: This calculator requires proper or improper fractions. Convert mixed numbers to improper fractions first.

Q4: What's the maximum number allowed?
A: The calculator can handle very large numbers, but extremely large values may cause display issues.

Q5: Why do I sometimes get the same fraction back?
A: This means your fraction was already in its simplest form.

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