Fraction Calculator

Understanding Fractions

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number).

• Proper Fraction: Numerator is smaller than denominator (e.g., 1/2).
• Improper Fraction: Numerator is larger than denominator (e.g., 5/4).
• Mixed Number: A whole number plus a fraction (e.g., 1 1/4).

How to Calculate Fractions

Adding & Subtracting Fractions

To add or subtract, the denominators must be the same.

1. Find the Least Common Multiple (LCM) of the denominators.
2. Convert both fractions to have the common denominator.
3. Add or subtract the numerators.

Multiplying Fractions

This is the easiest operation. Just multiply straight across.

(Top × Top) / (Bottom × Bottom)

Dividing Fractions

Use the "Keep, Change, Flip" rule.

1. Keep the first fraction as is.
2. Change the division sign (÷) to multiplication (×).
3. Flip the second fraction (find its reciprocal).
4. Multiply the numerators and denominators.

FAQ

Q. How do I simplify a fraction?

To simplify (reduce), divide both the top and bottom numbers by their Greatest Common Divisor (GCD). For example, 4/8 divides by 4 to become 1/2.