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.825, in fraction form, is 825/1000. You can further reduce 825/1000 down to 33/40. AnswerParty!

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**Continued fractions**
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*.

**Mathematical analysis**
**Mathematical analysis** is a branch of mathematics that includes the theories of differentiation, integration, measure, limits, infinite series, and analytic functions. These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry. However, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space).

**Elementary arithmetic**
**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.

**Intake fraction**
**Intake fraction** is a measurement of pollution and it can be used in the determination of the environmental health impact of a pollutant source. Intake fraction is the ratio of the mass of a pollutant inhaled or ingested to the mass of the pollutant emitted. Traditionally, scientists and policy makers have used a source-oriented approach to reduce health impacts from pollution. That is, they identified the largest producers of various pollutants and worked to reduce the amount of pollutants emitted. Exposure assessment, also referred to as exposure analysis, is a receptor-oriented science, and practitioners in this field focus on the sources of pollutants that result in the largest human exposure. The same principles can be used to assess pollutant impact on non-human organisms, but most exposure analysts focus on humans.

**Solving quadratic equations with continued fractions**
In mathematics, a **quadratic equation** is a polynomial equation of the second degree. The general form is

where *a* ≠ 0.

**Health Medical Pharma**
Science of *drugs* including their origin, composition, *pharmacokinetics*,

*pharmacodynamics*, therapeutic use, and toxicology.

**Pharmacology** (from Greek φάρμακον, *pharmakon*, "poison" in classic Greek; "drug" in modern Greek; and -λογία, *-logia* "study of", "knowledge of") is the branch of medicine and biology concerned with the study of drug action, where a drug can be broadly defined as any man-made, natural, or endogenous (within the body) molecule which exerts a biochemical and/or physiological effect on the cell, tissue, organ, or organism. More specifically, it is the study of the interactions that occur between a living organism and chemicals that affect normal or abnormal biochemical function. If substances have medicinal properties, they are considered pharmaceuticals.

**Religion Belief**
Algeria · Nigeria · Sudan · Ethiopia · Seychelles

Uganda · Zambia · Kenya · South Africa

Afghanistan · Pakistan · India

Nepal · Sri Lanka · Vietnam

China · Hong Kong · Macau · Taiwan

North Korea · South Korea · Japan

Malaysia · Singapore · Philippines · Thailand

**Technology Internet**
The **Internet** is a global system of interconnected computer networks that use the standard Internet protocol suite (*TCP/IP*) to serve several billion users worldwide. It is a *network of networks* that consists of millions of private, public, academic, business, and government networks, of local to global scope, that are linked by a broad array of electronic, wireless and optical networking technologies. The Internet carries an extensive range of information resources and services, such as the inter-linked hypertext documents of the World Wide Web (WWW), the infrastructure to support email, and peer-to-peer networks.

Most traditional communications media including telephone, music, film, and television are being reshaped or redefined by the Internet, giving birth to new services such as voice over Internet Protocol (VoIP) and Internet Protocol television (IPTV). Newspaper, book and other print publishing are adapting to website technology, or are reshaped into blogging and web feeds. The Internet has enabled and accelerated new forms of human interactions through instant messaging, Internet forums, and social networking. Online shopping has boomed both for major retail outlets and small artisans and traders. Business-to-business and financial services on the Internet affect supply chains across entire industries.

**Human Interest**
In journalism, a **human interest story** is a feature story that discusses a person or people in an emotional way. It presents people and their problems, concerns, or achievements in a way that brings about interest, sympathy or motivation in the reader or viewer.

Human interest stories may be "the story behind the story" about an event, organization, or otherwise faceless historical happening, such as about the life of an individual soldier during wartime, an interview with a survivor of a natural disaster, a random act of kindness or profile of someone known for a career achievement.

**Mathematics**
**Arithmetic**
**Numbers**
**Division**
**Fraction**
**Education**