Home
Back
Fraction Operations:
| From: | To: |
The Fraction Calculator performs basic arithmetic operations (addition, subtraction, multiplication, division) with fractions and provides answers in simplified form. It handles both proper and improper fractions.
The calculator performs the following operations:
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).
Details: Understanding fraction operations is fundamental in mathematics, essential for algebra, measurements, ratios, and real-world applications like cooking, construction, and financial calculations.
Tips: Enter numerators and denominators (denominators must be positive), select an operation. The calculator will show the result in simplest form, converting to whole number when appropriate.
Q1: Can I enter negative fractions?
A: Yes, you can enter negative numerators (e.g., -1/2) but denominators must always be positive.
Q2: What if I enter 0 as denominator?
A: The calculator requires denominators to be positive integers (≥1).
Q3: How are mixed numbers handled?
A: Convert mixed numbers to improper fractions first (e.g., 1½ = 3/2).
Q4: What if the result is an improper fraction?
A: Results are shown as simplified improper fractions (e.g., 5/2 rather than 2½).
Q5: How precise are the calculations?
A: Calculations are exact (no rounding) as they use integer arithmetic.