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Fraction Calculator

Add, subtract, multiply, and divide fractions. Supports mixed numbers and shows step-by-step mathematical breakdowns.

Fraction 1
Fraction 2

The Ultimate Guide to Fraction Calculation

Fractions represent parts of a whole and are foundational to both academic mathematics and everyday tasks like cooking, carpentry, and budgeting. While adding whole numbers is intuitive, fractions introduce complexities like lowest common denominators and improper conversions.

Our advanced Fraction Calculator solves complex fractional equations instantly, providing the step-by-step mathematical breakdown so you can understand exactly how the result was derived.

The Anatomy of a Fraction

Every fraction consists of two parts:

  • Numerator (Top): Represents how many parts you have.
  • Denominator (Bottom): Represents how many parts make up a complete whole.

Simplifying Fractions

The golden rule of fractional mathematics is that all final answers must be reduced to their simplest form. To simplify a fraction, you must find the Greatest Common Divisor (GCD) for both the numerator and denominator, and divide both numbers by it. Our calculator automatically performs this reduction for you.

Frequently Asked Questions

How do you add or subtract fractions?

To add or subtract fractions, you must first find a common denominator (the bottom number). Once the denominators match, you simply add or subtract the numerators (the top numbers) while keeping the denominator the same.

How do you multiply fractions?

Multiplying fractions is straightforward: you multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. No common denominator is needed.

What is a mixed number?

A mixed number is a whole number combined with a proper fraction (e.g., 2 1/2). To perform mathematical operations on mixed numbers, it is usually easiest to convert them into improper fractions first (e.g., 5/2).

How do you divide fractions?

To divide fractions, you use the 'keep, change, flip' method. Keep the first fraction, change the division sign to multiplication, and flip the second fraction (find its reciprocal). Then multiply normally.

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