Calculator With Fraction Key

Fraction Calculation:

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

First Fraction:

Operator:

Second Fraction:

Result:

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1. What is Fraction Calculator?

This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. It provides results in both fractional and decimal form, simplifying the fraction to its lowest terms.

2. How Does the Calculator Work?

The calculator performs fraction operations using standard mathematical rules:

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: \(\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}\)

After calculation, the result is simplified by dividing both numerator and denominator by their greatest common divisor (GCD).

3. Importance of Fraction Calculation

Details: Understanding fraction operations is fundamental in mathematics, science, engineering, and everyday measurements. Accurate fraction calculations are essential for precise measurements and problem-solving.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions, select an operation, and click Calculate. The calculator will display the result in simplified fraction form and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter zero as a denominator?
A: The calculator will display an error since division by zero is undefined in mathematics.

Q2: How does the simplification work?
A: The calculator 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, you can enter negative values for any numerator or denominator.

Q4: What if the result is a whole number?
A: The calculator will display it as a whole number (e.g., 2 instead of 2/1).

Q5: How precise is the decimal conversion?
A: The decimal is rounded to 4 decimal places for display purposes, but calculations use full precision.