How do you add fractions with different denominators?

To add fractions with different denominators, first find the Least Common Denominator (LCD) of both fractions. Convert each fraction to an equivalent fraction with the LCD, then add the numerators. Finally, simplify the result by dividing by the Greatest Common Factor (GCF).

How do you divide one fraction by another?

To divide a fraction by another, use the "multiply by the reciprocal" rule: flip the second fraction (swap numerator and denominator) and then multiply. For example, 3/4 ÷ 1/2 = 3/4 × 2/1 = 6/4 = 3/2.

Advertisement (728x90)

📐 Math

Fraction Calculator

Perform addition, subtraction, multiplication, and division on any two fractions and get the fully reduced result.

⚡ Instant 🆓 Free 🔒 Private

fraction simplify reduce numerator denominator math

Fraction A

──

Operator

Fraction B

──

How to Calculate with Fractions

The Golden Rule: Common Denominators

To add or subtract fractions, you must first convert them to a common denominator by finding the Least Common Multiple (LCM) of the two denominators. Multiplication and division bypass this — you simply operate numerator × numerator and denominator × denominator.

Reducing to Simplest Form

Every result is simplified by dividing both the numerator and denominator by their Greatest Common Factor (GCF), computed via the Euclidean algorithm. This ensures the fraction is always expressed in its lowest terms — e.g., 6/8 reduces to 3/4.

Dividing Fractions

Division uses the "multiply by the reciprocal" rule: a/b ÷ c/d = a/b × d/c. The reciprocal flips the second fraction before multiplying, making all four operations consistent in structure.