Simple Fractions Calculator

Basic Operations on Fractions:

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

First Fraction:

Operation:

Second Fraction:

Result (fraction):

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1. What is a Fraction Calculator?

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

2. How Does the Calculator Work?

The calculator uses standard fraction arithmetic rules:

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

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 many real-world applications, from cooking measurements to engineering calculations.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions, select the operation you want to perform. The calculator will automatically simplify the result.

5. Frequently Asked Questions (FAQ)

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

Q2: How are negative fractions handled?
A: Negative signs can be placed in either numerator or denominator. The calculator will properly handle negative values.

Q3: Can I enter mixed numbers?
A: This calculator works with simple fractions only. Convert mixed numbers to improper fractions first.

Q4: What if the result is a whole number?
A: The calculator will display the result as a whole number when the denominator simplifies to 1.

Q5: How precise are the results?
A: Results are exact fractions, not decimal approximations, maintaining full precision.