Fraction Calculator: Add, Subtract, Multiply, and Divide Fractions
Master fraction operations with step-by-step examples. Learn how to find common denominators and simplify fractions.
Fractions represent parts of a whole. Understanding fraction operations is essential for cooking, construction, science, and everyday math.
Fraction Basics
A fraction has a numerator (top) and denominator (bottom). The denominator shows how many equal parts make a whole. The numerator shows how many of those parts you have.
Adding and Subtracting Fractions
To add or subtract fractions, you need a common denominator. Find the LCD (Least Common Denominator), convert each fraction, then add/subtract numerators.
Example: 1/4 + 1/3 = 3/12 + 4/12 = 7/12
Multiplying Fractions
Multiply numerators together and denominators together. Then simplify if possible.
Example: 2/3 × 3/4 = 6/12 = 1/2
Dividing Fractions
Flip the second fraction (find its reciprocal) and multiply. "Keep, Change, Flip" method.
Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6
Simplifying Fractions
Divide both numerator and denominator by their GCD (Greatest Common Divisor) until no common factors remain.