Calculator That Shows Fractions As You Put Them in
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Reviewed by Calculator Editorial Team
This calculator helps you work with fractions by showing results in fractional form as you input numbers. Whether you're adding, subtracting, multiplying, or dividing fractions, this tool provides clear, step-by-step calculations to help you understand the process.
What is a fraction calculator?
A fraction calculator is a tool that performs arithmetic operations (addition, subtraction, multiplication, and division) with fractions. Unlike decimal calculators, this tool maintains results in fractional form, which is often more precise and easier to understand for mathematical operations.
Fractions are numbers that represent a part of a whole, written as a numerator over a denominator (e.g., 3/4). They are essential in many mathematical and real-world applications, including measurements, ratios, and proportions.
How to use this calculator
Using this fraction calculator is straightforward. Follow these steps:
- Select the operation you want to perform (addition, subtraction, multiplication, or division).
- Enter the first fraction by providing the numerator and denominator.
- Enter the second fraction in the same way.
- Click the "Calculate" button to see the result in fractional form.
- Review the step-by-step solution provided below the result.
The calculator will display the result in its simplest fractional form and show the steps taken to arrive at that answer.
Formula used
Addition of Fractions
To add two fractions, find a common denominator and add the numerators:
a/b + c/d = (a×d + c×b)/(b×d)
Subtraction of Fractions
To subtract two fractions, find a common denominator and subtract the numerators:
a/b - c/d = (a×d - c×b)/(b×d)
Multiplication of Fractions
To multiply two fractions, multiply the numerators together and the denominators together:
a/b × c/d = (a×c)/(b×d)
Division of Fractions
To divide two fractions, multiply by the reciprocal of the second fraction:
a/b ÷ c/d = (a×d)/(b×c)
Simplifying Fractions
After performing an operation, the result is simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).
Worked examples
Example 1: Adding Fractions
Calculate 1/4 + 1/6:
- Find a common denominator: 12 (the least common multiple of 4 and 6).
- Convert the fractions: 1/4 = 3/12 and 1/6 = 2/12.
- Add the numerators: 3/12 + 2/12 = 5/12.
The result is 5/12.
Example 2: Multiplying Fractions
Calculate 2/3 × 4/5:
- Multiply the numerators: 2 × 4 = 8.
- Multiply the denominators: 3 × 5 = 15.
- Combine to form the new fraction: 8/15.
The result is 8/15.
FAQ
Can this calculator handle mixed numbers?
No, this calculator currently works with improper fractions only. You can convert mixed numbers to improper fractions before using the calculator.
Why does the calculator simplify fractions?
Simplifying fractions makes them easier to understand and work with. It reduces the fraction to its simplest form by dividing both the numerator and denominator by their greatest common divisor.
What if I enter a denominator of zero?
The calculator will display an error message because division by zero is undefined in mathematics. Please ensure all denominators are valid numbers greater than zero.