Fraction Calculator
This calculator helps you perform basic arithmetic operations with fractions — addition, subtraction, multiplication, and division. It's ideal for students, teachers, and anyone needing to quickly and accurately solve fraction-based problems. Simply input two fractions, select the operation, and get an exact result in fractional or mixed form.
Fraction Operations Calculator
Basic Fraction Operation Formulas
\[
\text{Addition:} \quad \frac{a}{b} + \frac{c}{d} = \frac{a \cdot d + b \cdot c}{b \cdot d} \\[1.5em]
\text{Subtraction:} \quad \frac{a}{b} – \frac{c}{d} = \frac{a \cdot d – b \cdot c}{b \cdot d} \\[1.5em]
\text{Multiplication:} \quad \frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d} \\[1.5em]
\text{Division:} \quad \frac{a}{b} \div \frac{c}{d} = \frac{a \cdot d}{b \cdot c}
\]
Each operation follows standard fraction rules, ensuring results in reduced form. Denominators are never zero.
Basic Fraction Operations – Calculation Example
Given: 1/2 + 3/4
- Find common denominator: 4
- Convert fractions: 1/2 = 2/4
- Add numerators: 2 + 3 = 5
- Result: 5/4 or 1 1/4
Fraction arithmetic is commonly used in both academic and real-life scenarios, such as cooking, construction, and budgeting. This tool supports improper fractions, mixed numbers, and simplifies the output. It’s especially helpful for avoiding common errors in manual calculations and supports fast conversions between formats.