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Fractions: cooling the concept

Quite a few students who feel insecure when dealing with fractions. The simple terms, proper fraction, improper, homogeneous, reducible, we feel that we are speaking a foreign language to us. This overview of concepts related to fractions will help strengthen and refresh all we know about the concept. DEFINITION



The word "faction" comes from the Latin "scud" meaning "broken or cracked."


REPRESENTATION
The fraction is composed of a numerator and a denominator:

fractions can be represented in various ways, and the fraction "three divided by four," "three four" or "three quarters" can be written any of these ways:


÷ 4 * 3 * 3: 4
* 3 / 4

In this example, the number 3 is called the numerator and the denominator 4. Fractions are rational numbers, which means that the numerator and denominator are integers. Also represented in decimal results in 0.75, same result is obtained by dividing 3 ÷ 4. In the case of a graphical representation could imagine a circle divided into four parts of equal proportion, which would withdraw one of the four parties, the following three remaining parts represent the fraction 3 / 4.

(Image: Wikipedia.Com)

VIDEO RELATED TO THE READING OF FRACTIONS:





TYPES OF FRACTIONS There are several ways to classify fractions, these include the following:

1. According to the relationship between the numerator and denominator:

a) Fraction own: fraction has the denominator greater than its numerator: 3 / 6, 2 / 5, 3 / 4
b) improper fraction: fraction where the denominator is less than the numerator: 13 / 6, 18 / 8, 4 / 2

2. According to the relationship between the denominators:

a) homogeneous fraction: fractions that have the same denominator: 3 / 4 and 7 / 4
b) heterogeneous fraction: fractions with different denominators.

3. According to the relationship between the numerator and denominator:

a) Reducible fraction: fraction whose numerator and denominator are coprime and can be simplified.
b) irreducible fraction: fraction whose numerator and denominator are coprime, and therefore can not be simplified.

4. Other classifications:

a) Fraction Unit: common fraction numerator 1.
b) Fraction egyptian representation system in ancient Egypt fractions where each fraction is expressed as the sum of unit fractions.
c) apparent or integer fraction: fraction representing the whole: 3 / 3 = 1 4 / 4 = 1
d) Fraction decimal fraction whose denominator is a power of ten. It can also be a fraction expressed in base 10, as opposed to binary fractions others, which are expressed in other numbering systems.
e) mixed fraction is the sum of an integer and a fraction. Mixed fractions can be expressed as fractions.
f) A fraction is irrational, given that all the factions should be able to be expressed as vulgar fractions, a self-contradictory term. An irrational number is, by definition, not rational, ie can not be expressed as a vulgar fraction.
g) A continued fraction is an expression like this:

h) composite fraction: fraction whose numerator or denominator (or both) has to time fractions.
i) partial fraction, which can be used to decompose a rational function.
j) Fraction as a reason: Allows you to question what relationship are? and highlighting their relationship a couple of numbers that can come from a comparison.

FRACTIONS RELATED VIDEOS:





mathematical operations FRACTIONS





Resources:

Wikipedia: Fractions

www.videosdematematicas.com

Simple activities on fractions Fractions

www.escolar.com

Math Activities Fractions

Operations with Fractions Interactive Math




NOTE: In a future posting will show step by step mathematical operations related to fractions.