Desmos Calculator Fraction Solver Tool

Fraction Calculator:

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

First Fraction:

Operation:

Second Fraction:

Result:

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1. What is the Fraction Solver?

The Desmos-inspired Fraction Solver is a tool that performs basic arithmetic operations (addition, subtraction, multiplication, and division) on fractions. It provides results in both unsimplified and simplified forms.

2. How Does the Calculator Work?

The calculator uses standard fraction arithmetic rules:

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

The tool then simplifies the result by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Calculations

Details: Understanding fraction operations is fundamental in mathematics, especially in algebra, calculus, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions (denominator cannot be zero), select the operation, and click Calculate. The tool will show the result in multiple forms.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter a denominator of zero?
A: The calculator will not compute a result as division by zero is undefined in mathematics.

Q2: How does the simplification work?
A: The tool finds the greatest common divisor (GCD) of the numerator and denominator and divides both by this number.

Q3: Can I enter negative fractions?
A: Yes, the calculator handles negative values in either numerator or denominator.

Q4: What if the result is a whole number?
A: The calculator will show the fractional form and the simplified whole number form (e.g., "4/2 = 2/1 = 2").

Q5: Does this support mixed numbers?
A: Currently, the calculator only works with improper fractions. Convert mixed numbers to improper fractions first.