Home
Back
Fraction Operations:
| From: | To: |
Fraction operations involve performing arithmetic calculations (addition, subtraction, multiplication, and division) with fractions. Fractions represent parts of a whole and are used extensively in mathematics, science, and everyday life.
The calculator performs four basic operations with fractions:
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: \[ \frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc} \]
Explanation: The calculator finds a common denominator for addition/subtraction and simplifies the result to its lowest terms.
Details: Understanding fraction operations is fundamental in mathematics and essential for solving real-world problems involving ratios, proportions, and measurements.
Tips: Enter numerators and denominators for both fractions, select the operation, and click Calculate. Denominators cannot be zero.
Q1: How do you add fractions with different denominators?
A: Find a common denominator by multiplying the denominators, then convert each fraction to have this denominator before adding.
Q2: Why do we simplify fractions?
A: Simplified fractions are easier to understand and work with, representing the same value in its most reduced form.
Q3: Can denominators be negative?
A: Technically yes, but typically the negative sign is placed with the numerator or the whole fraction.
Q4: What if my result has a denominator of 1?
A: This means your result is a whole number, displayed without the denominator.
Q5: How are mixed numbers handled?
A: Convert mixed numbers to improper fractions before using the calculator (e.g., 2½ becomes 5/2).