The Fraction Calculator lets you add, subtract, multiply, and divide fractions with ease. It automatically simplifies results to their lowest terms and can convert between improper fractions and mixed numbers.
Enter two fractions, choose an operation, and get your answer instantly. The calculator handles whole numbers, proper fractions, improper fractions, and mixed numbers.
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A fraction represents a part of a whole, written as a numerator (top number) over a denominator (bottom number). The denominator tells you how many equal parts the whole is divided into, and the numerator tells you how many of those parts you have.
To add or subtract fractions, they must share a common denominator. The least common denominator (LCD) is the smallest number that both denominators divide into evenly. Once converted, you simply add or subtract the numerators and keep the denominator.
Multiplying fractions is straightforward: multiply the numerators together and multiply the denominators together. Dividing by a fraction is equivalent to multiplying by its reciprocal (flipping the second fraction upside down).
Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). A fraction is fully simplified when the GCD of the numerator and denominator is 1.
Aufgabe: Calculate 1/4 + 2/3
Loesung: The LCD of 4 and 3 is 12. Convert: 1/4 = 3/12 and 2/3 = 8/12. Add the numerators: 3 + 8 = 11. The result is 11/12.
Antwort: 11/12
Aufgabe: Calculate 5/6 - 1/3
Loesung: The LCD of 6 and 3 is 6. Convert: 5/6 stays as 5/6 and 1/3 = 2/6. Subtract: 5 - 2 = 3. The result is 3/6, which simplifies to 1/2.
Antwort: 1/2
Aufgabe: Calculate 3/5 x 2/7
Loesung: Multiply numerators: 3 x 2 = 6. Multiply denominators: 5 x 7 = 35. The result is 6/35, which is already in its simplest form.
Antwort: 6/35
Aufgabe: Calculate 4/9 divided by 2/3
Loesung: Flip the second fraction to get 3/2. Multiply: 4/9 x 3/2 = 12/18. Simplify by dividing both by the GCD (6): 12/6 = 2, 18/6 = 3.
Antwort: 2/3
Aufgabe: Simplify 24/36
Loesung: Find the GCD of 24 and 36, which is 12. Divide both: 24/12 = 2 and 36/12 = 3. The simplified fraction is 2/3.
Antwort: 2/3
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