1. What Are Complex Fractions?

A complex fraction is a fraction where either the numerator, denominator, or both contain fractions themselves. The general form is (a/b)/(c/d), which can be simplified using the formula:

2. How the Calculator Works

The calculator simplifies complex fractions by applying the formula:

Where:

• \( a \) — Numerator of the first fraction
• \( b \) — Denominator of the first fraction
• \( c \) — Numerator of the second fraction
• \( d \) — Denominator of the second fraction

Explanation: The calculator multiplies the numerator of the first fraction by the denominator of the second fraction, then divides by the product of the first denominator and second numerator.

3. Practical Applications

Details: Complex fractions are commonly used in physics, engineering, and advanced mathematics when dealing with ratios of ratios or rates of rates.

4. Using the Calculator

Tips: Enter all four values (a, b, c, d). Denominators (b and d) cannot be zero. The calculator will automatically simplify the complex fraction.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator will not accept zero values for denominators (b and d) as division by zero is undefined.

Q2: Can I use decimal values?
A: Yes, the calculator accepts both integer and decimal values for all inputs.

Q3: How precise are the results?
A: Results are rounded to 4 decimal places for readability.

Q4: Does the order of fractions matter?
A: Yes, (a/b)/(c/d) is different from (c/d)/(a/b). Make sure to enter values in the correct positions.

Q5: Can this be used for mixed numbers?
A: You should first convert mixed numbers to improper fractions before using this calculator.