Fraction Calculator
Calculate fractions quickly and accurately by adding, subtracting, multiplying, or dividing two fractions.
The calculator automatically simplifies the result and shows the decimal value and mixed-number form when applicable.
Calculate Fractions
Enter two fractions and choose an operation.
Fraction Calculation Result
What Is a Fraction?
A fraction represents a part of a whole and is written using a numerator and denominator. The numerator is the number above the fraction line, while the denominator is the number below it.
For example, in 3/4, 3 is the numerator and 4 is the denominator. The fraction means three parts out of four equal parts.
How to Calculate Fractions
Adding Fractions
To add fractions with the same denominator, add their numerators and keep the denominator unchanged.
For fractions with different denominators, first find a common denominator, convert both fractions, and then add the numerators.
Subtracting Fractions
Fraction subtraction works similarly to addition. Fractions with different denominators must first be converted to equivalent fractions with a common denominator.
Multiplying Fractions
To multiply two fractions, multiply the numerators together and multiply the denominators together. The resulting fraction can then be simplified.
Dividing Fractions
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction.
Fraction Calculator Examples
| Calculation | Result |
|---|---|
| 1/2 + 1/4 | 3/4 |
| 3/4 − 1/4 | 1/2 |
| 2/3 × 3/4 | 1/2 |
| 3/4 ÷ 1/2 | 3/2 = 1 1/2 |
| 5/8 | 0.625 |
Frequently Asked Questions
What does a fraction represent?
A fraction represents a quantity divided into equal parts. The numerator indicates how many parts are being considered, while the denominator indicates the total number of equal parts.
Can this calculator simplify fractions?
Yes. The calculator reduces the result to its simplest form by dividing the numerator and denominator by their greatest common divisor.
Can I add fractions with different denominators?
Yes. The calculator handles fractions with different denominators by finding the appropriate common denominator automatically.
Can the calculator show mixed numbers?
Yes. When the result is an improper fraction, the calculator displays its mixed-number equivalent when applicable.
Can I divide by a fraction?
Yes. Enter the two fractions, select Divide, and the calculator will multiply the first fraction by the reciprocal of the second.