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Fraction Calculator

Calculate addition, subtraction, multiplication, and division of two fractions. Enter numerator and denominator for both fractions and see the result instantly.

🇩🇰 All calculations are based on Danish rules, rates, and currency (DKK). This calculator is translated for convenience but applies exclusively to Denmark.

Fraction Calculator

Fractions are a fundamental part of mathematics that we use in everyday life, from cooking to finance. A fraction consists of a numerator (the top number) and a denominator (the bottom number). The numerator indicates how many parts we have, while the denominator shows how many equal parts the whole is divided into.

The Four Operations with Fractions

When adding or subtracting fractions, they must have a common denominator. You find the common denominator by multiplying the denominators together, then adjust the numerators accordingly. When multiplying fractions, multiply numerator by numerator and denominator by denominator. Division of fractions is done by multiplying by the reciprocal.

How to Use This Calculator

Enter the numerator and denominator for the two fractions you want to calculate with. The calculator shows the result of all four operations: addition, subtraction, multiplication, and division. Results are displayed as decimal numbers for easy comparison.

Examples of Fraction Arithmetic

If you want to add 1/4 and 1/2, find the common denominator 4 and rewrite 1/2 as 2/4. The result is 3/4 = 0.75. Multiplying 1/4 by 1/2 gives you 1/8 = 0.125. Fractions are used everywhere in mathematics, science, crafts, and daily life.

Frequently Asked Questions

How do you add fractions?

To add two fractions, they must have a common denominator. Multiply each numerator by the other fraction's denominator, and use the product of the denominators as the common denominator. For example: 1/4 + 1/2 = 2/8 + 4/8 = 6/8 = 3/4.

How do you multiply fractions?

Multiplying fractions is the simplest fraction operation. Simply multiply numerator by numerator and denominator by denominator. For example: 1/4 × 1/2 = (1×1)/(4×2) = 1/8.

How do you divide fractions?

To divide by a fraction, multiply by its reciprocal (swap the numerator and denominator of the fraction you are dividing by). For example: (1/4) ÷ (1/2) = (1/4) × (2/1) = 2/4 = 1/2.

What is a fraction?

A fraction is a way to represent a part of a whole. It is written as two numbers separated by a fraction bar: the numerator (above) and the denominator (below). For example, 3/4 means we have 3 parts out of 4 equal parts.

How do you simplify a fraction?

To simplify a fraction, find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. For example, 6/8 can be simplified by dividing both by 2, giving 3/4.

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