How to Add Fractions
To add fractions with different denominators, find the least common denominator (LCD), convert each fraction, then add the numerators. Example: 1/3 + 1/4 → LCD = 12 → 4/12 + 3/12 = 7/12. This calculator does all steps automatically and simplifies the result to its lowest terms.
Mixed Numbers and Improper Fractions
A mixed number like 2 3/4 converts to the improper fraction 11/4 by multiplying the whole part by the denominator and adding the numerator (2×4 + 3 = 11). The calculator accepts mixed numbers in all four input fields and shows the mixed-number result automatically when the answer is greater than 1.
Simplification: GCD Method
After computing the result, the GCD (greatest common divisor) of the numerator and denominator is found using the Euclidean algorithm. Both values are divided by the GCD to produce the simplest form. For example: 12/18 → GCD(12,18) = 6 → 2/3.
Frequently Asked Questions
How do you add fractions with different denominators?
Find the LCD, convert each fraction, then add numerators. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How do you simplify a fraction?
Divide both numerator and denominator by their GCD. Example: 8/12 ÷ 4 = 2/3.
What is a mixed number?
A mixed number has a whole part and a fraction part, like 2 1/3. It equals 7/3 as an improper fraction.