Calculation result
Step-by-step solution
Enter a complex fraction
Calculation history
Formula used
A complex fraction is a fraction containing fractions. Simplify its numerator and denominator first. Then divide by multiplying with the reciprocal.
For addition, use a common denominator. Reduce the final numerator and denominator. Never divide by a zero value.
How to use this calculator
- Choose an input mode.
- Enter fractions, decimals, or mixed numbers.
- Use parentheses for nested calculations.
- Select answer and rounding options.
- Press Calculate to see exact steps.
- Copy or export the completed solution.
Example calculations
| Expression | Main step | Answer |
|---|---|---|
| (1/2) ÷ (3/4) | Multiply 1/2 by 4/3 | 2/3 |
| (2/3 + 1/4) ÷ (5/6) | 11/12 × 6/5 | 11/10 |
| (1 1/2) ÷ (2 3/4) | 3/2 × 4/11 | 6/11 |
| (3/5) ÷ (7/10 − 1/5) | 3/5 ÷ 1/2 | 6/5 |
Common mistakes
Do not invert both fractions during division. Only invert the divisor. Multiplication then replaces the division sign.
Do not add denominators directly. Find a common denominator before adding. Reduce only after combining the terms.
Check every nested denominator for zero. Parentheses control the calculation order. Missing brackets can change the entire answer.
Frequently asked questions
What is a complex fraction?
It is a fraction whose numerator, denominator, or both contain fractions.
Can I enter mixed numbers?
Yes. Enter values such as 1 1/2 with a space.
Does the calculator support nested fractions?
Yes. Use parentheses to define each nested level clearly.
Can decimals be converted into fractions?
Yes. Finite decimals are converted into exact rational values.
Why is division rewritten as multiplication?
Dividing by a fraction equals multiplying by its reciprocal.
What happens when a denominator is zero?
The calculator stops and identifies the invalid denominator.
Can I keep an unsimplified answer?
Yes. Turn off final reduction to display the immediate fraction.
How is equivalence checked?
Both expressions are reduced exactly and compared by value.
Can I export the solution?
Yes. Use the CSV, PDF, and copy controls after calculating.