Fraction Calculator
Add, subtract, multiply, or divide fractions and get simplified results instantly.
Fraction Calculator
Calculate fraction operations instantly.
Result
0What This Fraction Calculator Actually Handles
This tool covers all four basic fraction operations: addition, subtraction, multiplication, and division, and it supports both simple fractions and mixed numbers. Every result the calculator produces is automatically reduced to its simplest form, meaning you never need to manually check whether a resulting fraction like 4/8 should actually be expressed as 1/2, since the tool handles that simplification step for you automatically.
How to Use the Fraction Calculator
Enter the numerator and denominator of your first fraction. Choose which operation you need, whether that is addition, subtraction, multiplication, or division. Then enter your second fraction using the same format. Once calculated, the simplified answer appears immediately, along with an option to view the result as a decimal if that format is more useful for your specific purpose.
The Rules Behind Each Fraction Operation
Adding or subtracting fractions requires both fractions to share a common denominator first, which this calculator finds and applies automatically before combining the numerators. Multiplying fractions is more straightforward, since it simply involves multiplying the two numerators together and the two denominators together directly, without needing a common denominator at all. Dividing fractions follows what is often called the flip-and-multiply rule, where the second fraction is inverted and then multiplied against the first.
Addition: a/b + c/d = (a×d + c×b) / (b×d)
Multiplication: a/b × c/d = (a×c) / (b×d)
Division: a/b ÷ c/d = (a×d) / (b×c)
Working with Mixed Numbers Correctly
Mixed numbers, which combine a whole number with a fraction, require an extra conversion step before standard fraction operations can be applied. This calculator automatically converts any mixed number into an improper fraction first, performs the requested calculation, and then converts the final result back into a mixed number if that format makes more sense for the answer, saving you from needing to remember or perform that conversion process manually.
Pro Tip: When adding or subtracting fractions, always find the least common denominator (LCD) first. This ensures the smallest possible numbers in your final result and makes simplification easier.
Converting Between Fractions, Decimals, and Percentages
Beyond the core fraction operations, this calculator can also display any result as its equivalent decimal value, calculated by simply dividing the numerator by the denominator. This is particularly useful when a fraction answer needs to be compared against a decimal figure or converted further into a percentage, which is done by multiplying the decimal equivalent by 100.
Frequently Asked Questions
Find a common denominator between the two fractions first, convert each fraction to use that shared denominator, and then add the numerators together over that common denominator.
Yes, every result is automatically reduced to its simplest possible form, so you never end up with an unsimplified fraction like 4/8 when the correct simplified answer is 1/2.
Yes, mixed numbers are fully supported and are automatically converted to improper fractions internally before the calculation runs, then converted back for a clear final answer.
Simply divide the numerator by the denominator, which this calculator can display automatically alongside the standard fraction result for any calculation you perform.
Dividing by a fraction is mathematically equivalent to multiplying by that fraction's reciprocal, which is why inverting the second fraction and multiplying produces the mathematically correct result.