Fraction Calculator
Add, subtract, multiply and divide fractions online. Simplify fractions, compare two fractions, convert fractions to decimals, and convert terminating decimals into fractions. Negative fractions and improper fractions are supported.
Fraction Calculator
Enter two fractions and choose an operation. The result is automatically reduced to its simplest form.
Simplify a Fraction
Reduce a fraction to its simplest form using the greatest common divisor of the numerator and denominator.
Fraction to Decimal Calculator
Convert any fraction into its decimal representation.
Compare Two Fractions
Determine which fraction is greater, or check whether two fractions are equal.
Decimal to Fraction Calculator
Convert a terminating decimal into a simplified fraction.
Fraction Formulas
Adding Fractions
For two fractions with different denominators, multiply across to create a common denominator.
Subtracting Fractions
Subtract the cross-products and divide by the product of the denominators.
Multiplying Fractions
Multiply the numerators together and the denominators together.
Dividing Fractions
Multiply the first fraction by the reciprocal of the second fraction.
Simplifying Fractions
Divide the numerator and denominator by their greatest common divisor.
Fraction to Decimal
Divide the numerator by the denominator.
How to Calculate Fractions
A fraction represents a part of a whole and is written using a numerator and denominator. The numerator is the number above the fraction bar, while the denominator is the number below it.
Adding Fractions
When fractions have the same denominator, add their numerators and keep the denominator unchanged. When the denominators are different, first find a common denominator.
Multiplying Fractions
Multiplication is straightforward: multiply the numerators together and multiply the denominators together.
Dividing Fractions
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction.
Proper, Improper and Mixed Fractions
A proper fraction has a numerator smaller than its denominator, such as 3/5. An improper fraction has a numerator equal to or greater than its denominator, such as 8/5. A mixed number combines a whole number with a proper fraction, such as 1 3/5.
Negative Fractions
Negative fractions are supported by this calculator. The negative sign can be placed on the numerator or represented by the overall fraction. For example, -3/4 and 3/-4 both represent the same value, and the calculator normalizes the denominator so that the final denominator is positive.
Why Simplify Fractions?
Simplifying a fraction produces an equivalent fraction with no common factor greater than one between its numerator and denominator. For example, 24/36 simplifies to 2/3.
Fraction Calculator FAQ
How do you add fractions?
Find a common denominator, convert the fractions to equivalent fractions, add the numerators, and simplify the result. For example, 1/4 + 1/2 becomes 1/4 + 2/4 = 3/4.
How do you subtract fractions?
Find a common denominator, subtract the numerators, keep the common denominator, and simplify the result.
How do you multiply fractions?
Multiply the first numerator by the second numerator and multiply the first denominator by the second denominator. Then simplify the result.
How do you divide fractions?
Multiply the first fraction by the reciprocal of the second fraction. For example, 3/4 ÷ 2/5 = 3/4 × 5/2 = 15/8.
How do you simplify a fraction?
Divide both the numerator and denominator by their greatest common divisor. For example, 24/36 simplifies to 2/3.
Can fractions have negative numbers?
Yes. Negative numerators and negative denominators are accepted. The calculator normalizes the final fraction so that its denominator is positive.
Can I use improper fractions?
Yes. The calculator supports proper fractions, improper fractions, mixed-number results, and negative fractions.
Can the calculator convert fractions to decimals?
Yes. Enter the numerator and denominator in the Fraction to Decimal calculator to obtain the decimal value.
Can I convert a decimal into a fraction?
Yes. The decimal-to-fraction calculator converts terminating decimals into simplified fractions.
Can a denominator be zero?
No. Division by zero is undefined, so a fraction with a denominator of zero cannot be calculated.