Math Calculator Tool 2026
Fraction Calculator.
Add, subtract, multiply, divide, simplify, and convert fractions to mixed numbers or decimals.
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How to Use
Enter Fractions
Add numerator and denominator for both fractions.
Choose Operation
Select add, subtract, multiply, or divide.
View Result
Get simplified fraction, mixed number, and decimal.
Fraction Rules
Core Rules
a/b + c/d = (ad + bc) / bd
For multiplication: a/b × c/d = ac/bd. For division: a/b ÷ c/d = a/b × d/c.
Complete Guide
Fractions represent parts of a whole. The top number is called the numerator, and the bottom number is called the denominator. For example, in 3/4, the numerator is 3 and the denominator is 4.
Adding and subtracting fractions requires a common denominator. If the denominators are already the same, you can add or subtract the numerators directly. If they are different, convert both fractions to equivalent fractions with a shared denominator.
Multiplying fractions is simpler. Multiply the numerators together and multiply the denominators together. After that, simplify the final fraction by dividing numerator and denominator by their greatest common divisor.
Division uses the reciprocal method. To divide by a fraction, flip the second fraction and multiply. For example, 1/2 ÷ 1/4 becomes 1/2 × 4/1, which equals 2.
This calculator also shows mixed number and decimal forms. Mixed numbers are useful for reading improper fractions, while decimals are useful for measurement, comparison, and practical calculations.
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Fraction Calculator FAQs
1. What is a fraction calculator?
A fraction calculator is a tool that helps add, subtract, multiply, divide, simplify, and convert fractions into mixed numbers or decimals.
2. How do I add fractions?
To add fractions, first make the denominators the same, then add the numerators and simplify the result.
3. How do I subtract fractions?
To subtract fractions, use a common denominator, subtract the numerators, and then simplify the final fraction.
4. How do I multiply fractions?
To multiply fractions, multiply the numerators together and multiply the denominators together. Then simplify the result.
5. How do I divide fractions?
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
6. What is a numerator?
The numerator is the top number in a fraction. It shows how many parts are being counted.
7. What is a denominator?
The denominator is the bottom number in a fraction. It shows how many equal parts make one whole.
8. Can denominator be zero?
No, a denominator cannot be zero because division by zero is undefined.
9. What is a simplified fraction?
A simplified fraction is reduced to its lowest terms, where numerator and denominator have no common factor except 1.
10. What is a mixed number?
A mixed number combines a whole number and a fraction, such as 1 1/2.
11. How do I convert a fraction to decimal?
Divide the numerator by the denominator. For example, 1/2 equals 0.5.
12. What is an improper fraction?
An improper fraction has a numerator greater than or equal to its denominator, such as 7/4.
13. What is a proper fraction?
A proper fraction has a numerator smaller than its denominator, such as 3/5.
14. What is a common denominator?
A common denominator is a shared denominator used to add or subtract fractions.
15. Why do fractions need simplification?
Simplification makes fractions easier to read and compare. For example, 4/8 simplifies to 1/2.
16. Can this calculator handle negative fractions?
Yes, you can enter negative numerators or denominators and the calculator will simplify the result.
17. Can this calculator convert to mixed number?
Yes, it shows the answer as a simplified fraction, mixed number, and decimal value.
18. What is reciprocal of a fraction?
The reciprocal of a fraction is made by swapping numerator and denominator. The reciprocal of 2/3 is 3/2.
19. Is fraction arithmetic useful in daily life?
Yes, fractions are useful in cooking, measurements, construction, budgeting, school math, and comparisons.
20. Is this fraction calculator free?
Yes, HQCalc fraction calculator is free and works instantly in your browser.