Calculator Soup Fraction Calculator

Fraction Operation Formula:

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

Fraction 1:

Operator:

Fraction 2:

Result:

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1. What is a Fraction Calculator?

Definition: This calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) on two fractions.

Purpose: It helps students, teachers, and professionals quickly compute fraction operations with simplified results.

2. How Does the Calculator Work?

The calculator uses standard fraction arithmetic formulas:

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

Explanation: The calculator first performs the operation, then simplifies the result by dividing numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Calculations

Details: Fractions are fundamental in mathematics, science, engineering, and everyday measurements. Accurate fraction operations are essential for precise calculations.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions, select an operation, and click Calculate. All fields must be integers, denominators cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my result denominator is 1?
A: The calculator will display just the numerator (e.g., 5/1 becomes 5).

Q2: Can I enter negative fractions?
A: Yes, put the negative sign on the numerator (e.g., -1/2 not 1/-2).

Q3: What about improper fractions?
A: The calculator handles improper fractions (numerator > denominator) and mixed numbers.

Q4: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator to reduce the fraction.

Q5: What if I get a zero denominator?
A: Division by zero is undefined. The calculator will not display a result if denominators are zero.