Calculator Inputs
Calculation History
Recent calculations appear here.
Formula Used
The calculator finds the greatest common divisor first. It divides both fraction terms by that value. This process keeps the fraction equal while reducing it.
Prime factorization method
Prime factorization breaks each term into prime numbers. Matching factors cancel from the numerator and denominator. The remaining factors form the fraction in lowest terms.
Mixed-number conversion
How to Use This Calculator
- Select the required fraction calculation mode.
- Enter values using the displayed input fields.
- Choose a simplification method and decimal precision.
- Select how many equivalent fractions should appear.
- Press the simplify button to view exact results.
- Copy, print, or export the completed calculation.
Worked Examples
| Input | GCD | Simplified result | Result type |
|---|---|---|---|
| 24/36 | 12 | 2/3 | Proper fraction |
| 18/6 | 6 | 3 | Whole number |
| 42/30 | 6 | 7/5 | Improper fraction |
| 3 6/8 | 2 | 15/4 | Mixed number |
| -8/12 | 4 | -2/3 | Negative fraction |
Common Mistakes
Never use zero as a fraction denominator. Divide both terms by the same nonzero number. Keep negative signs normalized before the fraction bar.
Frequently Asked Questions
What does simplifying a fraction mean?
Simplifying reduces both terms using their greatest common divisor. The resulting fraction has the same mathematical value. Its numerator and denominator share no larger common factor.
Can this calculator handle negative fractions?
Yes, negative signs may appear in either term. The calculator moves one negative sign before the fraction. Two negative signs produce a positive simplified result.
Why can the denominator not equal zero?
Division by zero has no defined mathematical value. A zero denominator therefore makes the fraction undefined. The calculator blocks this input and explains the problem.
How are mixed numbers simplified?
The mixed number first becomes an improper fraction. Its numerator and denominator are then reduced normally. The result also appears as a simplified mixed number.
What is the GCD method?
The GCD method finds the largest shared divisor. Both fraction terms are divided by this divisor. It usually provides the shortest exact simplification process.
What is prime factorization?
Prime factorization writes each number using prime factors. Common prime factors cancel from both fraction terms. Multiplying the remaining factors gives the simplified fraction.
Can it simplify several fractions together?
Yes, batch mode accepts one fraction per line. Each valid line receives its own simplified result. Invalid lines receive separate messages without stopping other calculations.
Does expression mode follow operation order?
Yes, multiplication and division happen before addition and subtraction. Parentheses receive the highest calculation priority. Every operation uses exact rational arithmetic before simplification.
What algebraic fractions are supported?
Algebraic mode supports numerical coefficients and monomial variable powers. It cancels matching powers and reduces coefficients. It also reports excluded denominator variable values.