Simplifying Complex Fractions

Solve fractions that have fractions in their numerator or denominator. This tool shows you the multiplication steps used to reach the simplest integer fraction.

(a/b) / (c/d) = (a × d) / (b × c)
Simplify (1/2) / (3/4): • (1/2) × (4/3) = 4/6 • Simplified = 2/3.

What is a complex fraction?

A complex fraction is a fraction where the numerator, the denominator, or both, contain fractions themselves. For example, (1/2) / (3/4) is a complex fraction.

How do you simplify a complex fraction?

Method 1: Multiply the numerator fraction by the reciprocal of the denominator fraction (Keep-Change-Flip). Method 2: Multiply both the overall numerator and denominator by the Least Common Denominator (LCD) of all internal fractions.

What is the "Keep-Change-Flip" rule?

Keep the first (top) fraction, Change the division sign to multiplication, and Flip the second (bottom) fraction to its reciprocal. Then multiply across.

Can this calculator handle mixed numbers?

Yes! To simplify complex fractions involving mixed numbers, you should first convert the mixed numbers into improper fractions before applying the division rules.