Fraction Calculator
Working with fractions requires managing common denominators and reducing terms. This calculator handles standard arithmetic operations between two fractions and provides both fractional and decimal solutions.
Calculated Result
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Formula & Mechanics
Addition: (a/b) + (c/d) = (ad + bc) / bd
Multiplication: (a/b) × (c/d) = (ac) / (bd)
To add fractions with different denominators, find a common denominator bd. For multiplication, multiply numerators together and denominators together directly.
Worked Step-by-Step Example
Scenario: Add 1/3 and 2/5.
- Find common denominator: 3 × 5 = 15
- Cross-multiply numerators: (1 × 5) + (2 × 3) = 5 + 6 = 11
- Combine: 11 / 15
1/3 + 2/5 = 11/15 (approx. 0.7333)
Frequently Asked Questions
Why cannot the denominator be zero?
A denominator represents the number of parts into which a whole is divided. Dividing into zero parts is impossible in standard arithmetic.
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