Fraction Calculator
Add, subtract, multiply, and divide fractions with ease. Get step-by-step solutions to understand the math behind every calculation.
Fraction Calculator
How to Use This Calculator
Enter whole numbers (optional) and fractions in the input fields, select an operation (add, subtract, multiply, or divide), and click Calculate. The calculator provides detailed step-by-step solutions showing exactly how the math works, including simplification and decimal conversion.
Adding and Subtracting Fractions
To add or subtract fractions, find a common denominator (usually the LCM of both denominators), convert both fractions, then add or subtract the numerators. Formula: a/b ยฑ c/d = (ad ยฑ bc) / bd. The calculator handles this automatically and shows you each step.
Multiplying Fractions
To multiply fractions, multiply the numerators together and denominators together. Formula: (a/b) ร (c/d) = (aรc) / (bรd). No common denominator needed. Simplify the result by dividing both numerator and denominator by their GCD.
Dividing Fractions
To divide fractions, multiply the first fraction by the reciprocal of the second (flip the second fraction). Formula: (a/b) รท (c/d) = (a/b) ร (d/c) = (aรd) / (bรc). Remember: dividing by a fraction is the same as multiplying by its inverse.
Understanding the Results
The calculator shows the result as a simplified fraction, mixed number, decimal, and percentage. All these formats represent the same value but in different ways. The step-by-step solution helps you understand the mathematical process.
Frequently Asked Questions
Q: Can I use negative fractions? A: Yes, enter negative whole numbers or numerators. Q: What if denominator is 0? A: Undefined, calculator will show error. Q: How to enter mixed numbers? A: Use the whole number field before the fraction. Q: Why simplify? A: Makes fractions easier to understand and compare.