Fraction (mathematics) 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: \tfrac{1}{2} and 17/3) consists of an integer numerator‚ displayed above a line (or before a slash)‚ and a non-zero integer denominator‚ displayed below (or after)
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Partial Fractions A way of "breaking apart" fractions with polynomials in them. What are Partial Fractions? We can do this directly: Like this (read Using Rational Expressions to learn more): 2 + 3 = 2·(x+1) + (x-2)·3 x-2 x+1 (x-2)(x+1) Which can then be simplified to: = 2x+2 + 3x-6 = 5x-4 x2+x-2x-2 x2-x-2 ... but how do we go in the opposite direction? That is what we discover here: How to find the "parts" that make the single fraction (the "partial fractions")
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students the concept of equivalence when working with fractions with unlike denominators or finding equivalent fractions‚ there are some skills that the students must already possess. These are as follows: Students are able to both recognize and write fractions Students understand the ‘breakdown’ of a fraction where the top is the numerator and the bottom is the denominator Students must have some understanding of equivalence and what it means Students must be able to both multiply and divide
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Lacsap’s Fractions IB Math 20 Portfolio By: Lorenzo Ravani Lacsap’s Fractions Lacsap is backward for Pascal. If we use Pascal’s triangle we can identify patterns in Lacsap’s fractions. The goal of this portfolio is to find an equation that describes the pattern presented in Lacsap’s fraction. This equation must determine the numerator and the denominator for every row possible. Numerator Elements of the Pascal’s triangle form multiple horizontal rows (n) and diagonal rows (r). The elements
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Lesson 3 Topic: Fractions Subtopic: Addition and Subtraction of Fractions Materials • A set of paper strips with words written on it • Fish bowl Objectives • To guess the word written on the paper strip • To practice patience and understanding to those who can not get the answer correctly Control of Error • Teacher Presentation • The teacher will introduce the activity and give the instruction on what to do. • She will ask for 5 pairs of volunteers from the class. One volunteer
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Mixed Fractions (Also called "Mixed Numbers") | | A Mixed Fraction is a whole number and a proper fraction combined. such as 1 3/4. | 1 3/4 | | | (one and three-quarters) | | | Examples 2 3/8 | 7 1/4 | 1 14/15 | 21 4/5 | See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number). Names We can give names to every part of a mixed fraction: Three Types of Fractions There are three types
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Yao Cia Hua Mathematics SL LACSAP’S Fraction-‐ Portfolio Type I LACSAP’S Fractions - Math SL Type I Name: Yao Cia Hua Date: March 22nd‚ 2012 Teacher: Mr. Mark Bethune School: Sinarmas World Academy 1 Yao Cia Hua Mathematics SL LACSAP’S Fraction-‐ Portfolio Type I Lacsap triangle is a reversed Pascal triangle. This task
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What’s So Hard About Fractions? Fractions as we know them today‚ the symbols and the algorithms for performing operations‚ have developed over thousands of years‚ beginning with ancient Egyptians. Through research of the origins‚ the development of fractions to appearing symbolically as we know them today‚ and of the developments of how we operate with them today and then connecting that knowledge with the observations of contemporary math education experts and personal interviews and observation
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Type I – Mathematical Investigation Lacsap’s Fractions The focus of this investigation is surrounding Lascap’s Fractions. They are a group of numbers set up in a certain pattern. A similar mathematical example to Lacsap’s Fractions is Pascal’s Triangle. Pascal’s Triangle represents the coefficients of the binomial expansion of quadratic equations. It is arranged in such a way that the number underneath the two numbers above it‚ is the sum. Ex. 1 1 1 1 2 1 1
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Basic Concepts on Fraction Fraction – is defined as a part of a whole. In some other books‚ it is defined as a number written in the form ab ‚ where “a” and “b” are numbers and “b” is not equal to zero. Basic Parts of a Fraction * Numerator – the number above tells how many parts are taken. * Denominator – the number below tells how many equal parts the whole is divided. * Fraction bar – line that separates the two numbers. It also indicates division. There are several kinds
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