Fraction Calculator
Enter two fractions and choose an operation to add, subtract, multiply or divide them. The calculator simplifies the result and also displays its decimal value.
Decimal result: —
Enter fractions above and calculate.
What Is a Fraction?
A fraction represents part of a whole and is written as a numerator over a denominator. The numerator is the top number and tells how many parts are being considered. The denominator is the bottom number and tells how many equal parts make up the whole. For example, 3/4 means three of four equal parts.
This online fraction calculator helps you perform the four basic arithmetic operations with fractions. It reduces the answer to simplest form where possible and shows a decimal equivalent to make the result easier to interpret.
How to Use the Fraction Calculator
- Enter the numerator and denominator for the first fraction.
- Choose addition, subtraction, multiplication or division.
- Enter the numerator and denominator for the second fraction.
- Select Calculate fraction to view the simplified result and decimal value.
- Use Reset to restore the example values.
How to Add Fractions
To add fractions with the same denominator, add their numerators and keep the denominator. For example, 1/5 + 2/5 = 3/5. When denominators differ, first create equivalent fractions with a common denominator. For example, 1/2 + 1/3 becomes 3/6 + 2/6, which equals 5/6.
How to Subtract Fractions
Subtraction follows a similar method. Fractions with the same denominator can be subtracted by subtracting the numerators. With different denominators, rewrite them using a common denominator first. For example, 3/4 − 1/4 = 2/4, which simplifies to 1/2.
How to Multiply Fractions
To multiply fractions, multiply the numerators together and multiply the denominators together. For example, 2/3 × 3/5 = 6/15. Divide the numerator and denominator by their greatest common divisor to simplify the result, giving 2/5.
How to Divide Fractions
To divide by a fraction, multiply the first fraction by the reciprocal of the second fraction. The reciprocal swaps the numerator and denominator. For example, 1/2 ÷ 1/3 becomes 1/2 × 3/1, which equals 3/2 or 1.5. Division by a fraction equal to zero is undefined, so the calculator reports an error for that case.
What Does Simplest Form Mean?
A fraction is in simplest form when the numerator and denominator have no common positive factor other than 1. For example, 8/12 can be reduced to 2/3 because both 8 and 12 can be divided by 4. The value stays the same even though the numbers are smaller.
A denominator should not be zero because division by zero is undefined. A negative denominator can be rewritten as a positive denominator by moving the negative sign to the numerator. The calculator applies this convention to keep results consistent.
Fraction and Decimal Results
Fractions can be exact representations of values that repeat or do not end in decimal form. For example, 1/3 is exactly one third, while its decimal representation begins 0.3333 and continues. The decimal displayed by this tool is rounded for readability, so use the simplified fraction when you need an exact result.
Common Uses for Fraction Calculations
Fractions are useful in cooking, measurements, school mathematics, construction, craft projects and sharing quantities. You might double a recipe, compare two measurements, divide materials into equal parts or work through a homework problem. Keep the units consistent and make sure the denominators are not zero before calculating.
Frequently Asked Questions
Can the calculator handle negative fractions?
Yes. Whole-number numerators and denominators may be negative, but denominators cannot be zero.
Why is my result shown as a whole number?
If the simplified denominator is 1, the fraction equals a whole number, so the calculator displays that integer.
Can I enter decimal numerators?
This tool is designed for integer numerators and denominators. Convert decimal quantities to fractions or use a decimal calculator when appropriate.
Why does division sometimes show an error?
Dividing by a fraction with a zero numerator is division by zero, which has no defined result.
Important Note
This fraction calculator is intended for general learning and everyday arithmetic. For very large numbers, use smaller values if the calculator reports that an exact safe calculation is not possible.
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