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Understanding Fractions: Definition, Notation, and Real-Life Examples

A fraction represents a part of a whole or a set, used to describe how many equal parts a quantity is divided into. Originating from the Latin word "fractus," meaning broken, fractions are vital in everyday situations like sharing food. For instance, when dividing a pizza into three equal parts, one part represents one-third (1/3). This guide explores the definition of fractions, their notation, and practical examples such as one-fourth (¼) and three-fourths (¾) in various contexts, enhancing your understanding of fractional concepts.

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Understanding Fractions: Definition, Notation, and Real-Life Examples

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  1. motivationINTRODUCTION What is fraction?Loosely speaking, a fraction is a quantity that cannot be represented by a whole number.

  2. DefinitionAfraction - (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.Example: 1 part shaded1 (or 1 part of the whole) 2 2 equal parts of a whole

  3. Fraction NotationA fraction is a number used to name a part of a group or a whole. 1 2 The Numerator is number of part that chosen The Denominator is the total number of parts. This is the numerator The fraction one-half is written like this: This is the denominator

  4. One-thirdWhich part of the pizza would you like to eat? How many other people can you equally share the rest of the cake with?This pizza is divided into 3 equal parts. One part of 3 equal parts is called one- third. It is written as 1/3.We get thirds when we divide an object into 3 equal parts. One of three equal parts is called one third.

  5. One-fourthHow many parts of the paper shall we have if we fold it just like below?Each shall have 4 equal parts.We get fourths when we divide an object into 4 equal parts. One of four equal parts is called one- fourth. It is written as ¼ . ---

  6. Fraction Models Fraction can be shown as part of a circle. Here is ¼ of a circle. 1 out of four parts is shaded in so we say one-fourth. Or as part of rectangle Here is ¾ of the rectangle 3 out of 4 parts is shaded in, So we say three-fourths

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