Fraction Calculator
Fraction Calculator
Fraction Calculator: Add, Subtract, Multiply, and Divide Fractions
Fractions can be tricky to calculate by hand, especially when denominators don't match. The Fraction Calculator handles addition, subtraction, multiplication, and division of fractions instantly, automatically simplifying the result to its lowest terms so you get a clean, usable answer every time.
How to Use the Fraction Calculator
Enter the numerator and denominator for your first fraction, then enter the numerator and denominator for your second fraction, select the operation (add, subtract, multiply, or divide). The calculator computes the result and automatically simplifies it.
Formula Explanation
For addition and subtraction, fractions are first converted to a common denominator before combining numerators. For multiplication, numerators are multiplied together and denominators are multiplied together. For division, the second fraction is flipped (reciprocal) and then multiplied with the first. The final result is always simplified using the greatest common divisor.
Worked Example
Suppose you want to add 1/4 and 1/6. The common denominator is 12, so 1/4 becomes 3/12 and 1/6 becomes 2/12. Adding these gives 5/12, which is already in its simplest form since 5 and 12 share no common factors.
Practical Context
Fraction calculations are essential in cooking (adjusting recipe quantities), construction (measuring materials), and education (solving math homework). Being able to quickly add or divide fractions without manual common-denominator work saves time and reduces the chance of calculation errors.
Frequently Asked Questions
1. Does the calculator simplify results automatically?
Yes, every result is reduced to its simplest form using the greatest common divisor.
2. Can I use mixed numbers like 1 and 1/2?
Convert mixed numbers to improper fractions first (e.g., 1 1/2 becomes 3/2) before entering them into the calculator.
3. What happens if I divide by zero?
The calculator will show an error, since division by zero is mathematically undefined.
4. Can this convert fractions to decimals?
Yes, the result is also displayed in decimal form alongside the simplified fraction.
5. Does it work with negative fractions?
Yes, negative fractions are fully supported for all four operations.