Complex Fractions Calculator

The Complex Fractions Calculator simplifies stacked or nested fractions like (1/2)/(3/4) or 3 / (4/5) instantly. Whether you’re solving homework, reviewing math rules, or working through complicated rational expressions, this tool gives you a clean result with optional decimal and step display.

It handles math expressions with multiple layers and operations even expressions like (2/3 + 1/6) / (5/8 - 1/8) and reduces the final answer to lowest terms.

How to Use:

Enter your expression line-by-line in the Input Complex Fractions box. Supported formats include:

(1/2) / (3/4)
3 / (4/5)
(2/3 + 1/6) / (5/8 - 1/8)

Results appear in the Simplified Output box instantly.

You can adjust the format using the Options toggles:

• Show decimal adds a decimal equivalent (e.g., 3/4 = 0.75)
• Show steps prepends the original expression (e.g., (1/2)/(3/4) → 2/3)

Click Convert or just type the output updates live. Use Copy to grab the result.

What Complex Fractions Calculator can do:

This tool simplifies any valid math expression that contains fractions including:

• Division of two fractions (e.g., 1/2 ÷ 3/4)
• A whole number over a fraction (e.g., 3 / (4/5))
• Parentheses with addition and subtraction inside (e.g., (2/3 + 1/6) / (1 - 1/4))

It outputs a simplified fraction and (optionally) the decimal equivalent. Useful for:

• Pre-algebra and algebra
• Rational expression reduction
• Checking multi-layered test problems

It automatically simplifies output using GCD logic and evaluates all valid math syntax.

Example:

If you input the following complex expressions:

(1/2) / (3/4)  
3 / (4/5)  
(2/3 + 1/6) / (5/8 - 1/8)

With “Show steps” and “Show decimal” turned off, the tool will output:

2/3  
15/4  
1

If you turn “Show decimal” on, the output expands with decimal equivalents:

2/3 = 0.666667  
15/4 = 3.750000  
1/1 = 1.000000

And if you also enable “Show steps”, the output becomes:

(1/2) / (3/4) → 2/3 = 0.666667  
3 / (4/5) → 15/4 = 3.750000  
(2/3 + 1/6) / (5/8 - 1/8) → 1/1 = 1.000000

This tool simplifies stacked or nested fractions and even handles expressions with parentheses and operations making it perfect for cleaning up textbook-style problems or verifying complex math setups.

Complex Fractions Calculator Table:

Here are real-world examples of common complex fractions and their results.

Common Use Cases:

Use this when simplifying expressions that have fractions inside fractions especially if you need quick, accurate, reduced answers with optional decimal display. Perfect for middle/high school math, pre-calc review, or just validating complex algebra steps on the fly.