törtszámok

Törtszámok, often translated as fractions or rational numbers, represent parts of a whole. They are written in the form of a/b, where 'a' is the numerator and 'b' is the denominator. The numerator indicates how many parts are taken, and the denominator indicates the total number of equal parts the whole is divided into. For example, 1/2 represents one out of two equal parts.

The denominator of a fraction can never be zero, as division by zero is undefined. Fractions can be proper, where the numerator is smaller than the denominator (e.g., 3/4), or improper, where the numerator is equal to or greater than the denominator (e.g., 5/4 or 7/7). Improper fractions can be converted into mixed numbers, which consist of a whole number and a proper fraction (e.g., 5/4 is equivalent to 1 1/4).

Operations can be performed on fractions. Addition and subtraction require a common denominator. Multiplication involves multiplying the numerators together and the denominators together. Division is performed by inverting the second fraction and multiplying. Equivalent fractions represent the same value but have different numerators and denominators, achieved by multiplying or dividing both by the same non-zero number. Törtszámok are fundamental in arithmetic and have wide applications in various fields, including mathematics, science, and everyday life.