Fraction Calculator

Numerator 1

Denominator 1

Operation + - × ÷

Numerator 2

Denominator 2

Results

How It Works

This calculator performs basic arithmetic operations (addition, subtraction, multiplication, and division) on two fractions. Here's the process:

1. Input: Enter the numerator and denominator for each fraction in the designated fields.
2. Operation: Select the desired operation (+, -, ×, ÷) from the dropdown menu.
3. Calculation: The calculator finds a common denominator for addition/subtraction, multiplies numerators and denominators for multiplication, or inverts and multiplies for division.
4. Simplification: The final result is automatically simplified to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).
5. Output: The result is displayed as a simplified fraction, its decimal equivalent, and a step-by-step breakdown of the calculation. A visual chart is also provided for comparison.

Examples

• Addition: 1/2 + 1/3 = 5/6
• Subtraction: 3/4 - 1/5 = 11/20
• Multiplication: 2/3 × 3/4 = 6/12 which simplifies to 1/2
• Division: 1/2 ÷ 2/5 = 1/2 × 5/2 = 5/4 or 1 1/4

FAQ

1. How do you add fractions?

To add fractions with different denominators, you must first find a common denominator. Convert each fraction to an equivalent fraction with this common denominator, then add the numerators together, keeping the denominator the same. Finally, simplify the resulting fraction if possible.

2. How do you simplify fractions?

To simplify a fraction, find the Greatest Common Divisor (GCD) of the numerator and the denominator. Divide both the numerator and the denominator by their GCD. The result is the simplified fraction.

3. Can this calculator convert fractions to decimals?

Yes, absolutely. After calculating the fractional result, our tool automatically converts it to its decimal equivalent. To do this manually, you simply divide the numerator by the denominator.

4. How do you multiply fractions?

Multiplying fractions is straightforward: multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Then, simplify the resulting fraction.

5. How do you divide fractions?

To divide one fraction by another, you 'invert and multiply'. This means you take the second fraction, flip it over (swap the numerator and denominator), and then multiply it by the first fraction.

6. What is the easiest way to compare fractions?

The easiest way to compare fractions is to convert them to decimals by dividing the numerator by the denominator. You can then easily compare the decimal values. Our calculator provides a bar chart visualization to make comparison even simpler.