Numerators and denominators in the context of Division by zero


Numerators and denominators in the context of Division by zero

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⭐ Core Definition: Numerators and denominators

A fraction (from Latin: fractus, "broken") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction (examples: 1/2 and 17/3) consists of an integer numerator, displayed above a line (or before a slash like 12), and a non-zero integer denominator, displayed below (or after) that line. If these integers are positive, then the numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. For example, in the fraction 3/4, the numerator 3 indicates that the fraction represents 3 equal parts, and the denominator 4 indicates that 4 parts make up a whole. The picture to the right illustrates 3/4 of a cake.

Fractions can be used to represent ratios and division. Thus the fraction 3/4 can be used to represent the ratio 3:4 (the ratio of the part to the whole), and the division 3 ÷ 4 (three divided by four).

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Numerators and denominators in the context of Simple continued fraction

A simple or regular continued fraction is a continued fraction with numerators all equal to one, and denominators built from a sequence of integer numbers. The sequence can be finite or infinite, resulting in a finite (or terminated) continued fraction like

or an infinite continued fraction like

View the full Wikipedia page for Simple continued fraction
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