Complex Fractions Calculator
Simplify complex fractions (fractions within fractions). Step-by-step complex fraction solver.
Enter Complex Fraction
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Try:
How to Use
- Enter the numerator and denominator of the top fraction
- Enter the numerator and denominator of the bottom fraction
- Click "Simplify" to see the result
- View the step-by-step solution
What is Complex Fractions Calculator?
A complex fraction (also called a compound fraction) is a fraction where the numerator, denominator, or both contain fractions. For example, (1/2)/(3/4) is a complex fraction. Simplifying means converting it to a simple fraction.
Formula
To simplify a complex fraction:
(a/b) ÷ (c/d) = (a/b) × (d/c) = (a×d)/(b×c)
Rule: Multiply by the reciprocal of the bottom fraction
Examples
- (1/2) ÷ (3/4) = (1×4)/(2×3) = 4/6 = 2/3
- (3/5) ÷ (2/7) = (3×7)/(5×2) = 21/10
- (5/8) ÷ (5/4) = (5×4)/(8×5) = 20/40 = 1/2
FAQ
What is a complex fraction?
A complex fraction is a fraction that has a fraction in its numerator, denominator, or both. It's essentially a division of two fractions stacked on top of each other.
How do I simplify a complex fraction?
To simplify, multiply the top fraction by the reciprocal (flip) of the bottom fraction. Then simplify the resulting fraction if possible.
Can complex fractions have variables?
Yes, complex fractions can contain variables. The same rules apply: multiply by the reciprocal of the denominator fraction.