**Elementary arithmetic** is the simplified portion of arithmetic which includes the operations of addition, subtraction, multiplication, and division.

Elementary arithmetic starts with the natural numbers and the written symbols (digits) which represent them. The process for combining a pair of these numbers with the four basic operations traditionally relies on memorized results for small values of numbers, including the contents of a multiplication table to assist with multiplication and division.

In mathematics, a **continued fraction** is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of *its* integer part and another reciprocal, and so on. In a **finite continued fraction** (or **terminated continued fraction**), the iteration/recursion is terminated after finitely many steps by using an integer in lieu of another continued fraction. In contrast, an **infinite continued fraction** is an infinite expression. In either case, all integers in the sequence, other than the first, must be positive. The integers a_{i} are called the coefficients or terms of the continued fraction.

Continued fractions have a number of remarkable properties related to the Euclidean algorithm for integers or real numbers. Every rational number *p**q* has two closely related expressions as a finite continued fraction, whose coefficients a_{i} can be determined by applying the Euclidean algorithm to (*p*, *q*). The numerical value of an infinite continued fraction will be irrational; it is defined from its infinite sequence of integers as the limit of a sequence of values for finite continued fractions. Each finite continued fraction of the sequence is obtained by using a finite prefix of the infinite continued fraction's defining sequence of integers. Moreover, every irrational number α is the value of a *unique* infinite continued fraction, whose coefficients can be found using the non-terminating version of the Euclidean algorithm applied to the incommensurable values α and 1. This way of expressing real numbers (rational and irrational) is called their *continued fraction representation*.

In algebra, an **algebraic fraction** is a fraction whose numerator and denominator are algebraic expressions. Two examples of algebraic fractions are and . Algebraic fractions are subject to the same laws as arithmetic fractions.

A **rational fraction** is an algebraic fraction whose numerator and denominator are both polynomials. Thus is a rational fraction, but not because the numerator contains a square root function.

**Entertainment** is a form of activity that holds the attention and interest of an audience, or gives pleasure and delight. It can be an idea or a task, but is more likely to be one of the activities or events that have developed over thousands of years specifically for the purpose of keeping an audience's attention. Although people's attention is held by different things, because individuals have different preferences in entertainment, most forms are recognisable and familiar. Storytelling, music, drama, dance, and different kinds of performance exist in all cultures, were supported in royal courts, developed into sophisticated forms and over time became available to all citizens. The process has been accelerated in modern times by an entertainment industry which records and sells entertainment products. Entertainment evolves and can be adapted to suit any scale, ranging from an individual who chooses a private entertainment from a now enormous array of pre-recorded products; to a banquet adapted for two; to any size or type of party, with appropriate music and dance; to performances intended for thousands; and even for a global audience.

The experience of being entertained has come to be strongly associated with amusement, so that one common understanding of the idea is fun and laughter, although many entertainments have a serious purpose. This may be the case in the various forms of ceremony, celebration, religious festival, or satire for example. Hence, there is the possibility that what appears as entertainment may also be a means of achieving insight or intellectual growth.

A **social issue** (also called a **social problem** or a **social situation**) is an issue that relates to society's perception of a person's personal lives. Different cultures have different perceptions and what may be "normal" behavior in one society may be a significant social issue in another society. Social issues are distinguished from economic issues. Some issues have both social and economic aspects, such as immigration. There are also issues that don't fall into either category, such as wars.

Thomas Paine, in *Rights of Man and Common Sense*, addresses man's duty to "allow the same rights to others as we allow ourselves". The failure to do so causes the birth of a social issue.

- What is the simpilest form for the fraction 4 and 24?
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- What is a running total of the number of people surveyed called?
- If 33 out of 198 students surveyed said that they preferred hockey to all other sports, what fraction of the students surveyed this?
- What is the fashion trend that 87 % of people surveyed?
- What famous people have birthday on november 24?

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