3 Chapter Chapter 2 Fractions and Mixed Numbers

Introduction to Fractions and Mixed Numbers Section 3.1 Introduction to Fractions and Mixed Numbers

Identify the Numerator and the Denominator of a Fraction. Objective A Identify the Numerator and the Denominator of a Fraction.

Identifying Numerators and Denominators In a fraction, the top number is called the numerator and the bottom number is called the denominator. The bar between the numbers is called the fraction bar. Names Fraction Meaning Numerator number of parts being considered Denominator number of equal parts in the whole Objective A 4

Example Identify the numerator and denominator of each fr action. a. b.

Write a Fraction to Represent Parts of Figures or Real-Life Data. Objective B Write a Fraction to Represent Parts of Figures or Real-Life Data.

Example Write the fraction to represent the shaded part of the figure. In this figure, 4 out of the 7 equal parts are shaded. Thus the fraction is . Objective A 7

Example Write the fraction to represent the shaded part of the diagram. In this diagram, 3 out of the 10 equal parts are shaded. Thus the fraction is . Objective A 8

Example Draw a figure and then shade a part of it to represent the fraction . Since the denominator is 6, we divide the rectangle into 6 equal parts. Then we shade 5 of the equal parts. Objective A 9

Example Draw and shade a part of a figure to represent the fraction. The figure consists of 11 circles of the same size. We will shade 7 of the circles. Objective A 10

Example Of the eight planets in our solar system, five are farther from the Sun than Earth is. What fraction of the planets are farther from the Sun than Earth is?

Identify Proper Fractions, Improper Fractions, and Mixed Numbers. Objective C Identify Proper Fractions, Improper Fractions, and Mixed Numbers.

Identifying Proper Fractions, Improper Fractions and Mixed Numbers Proper Fraction: A fraction whose numerator is less than its denominator. Numerator Denominator Improper Fraction: A fraction whose numerator is greater than or equal to its denominator. Objective A 13

Example Identify each number as a proper fraction, improper fraction, or mixed number. a. b. c. d. e. f. proper fraction improper fraction improper fraction proper fraction mixed number improper fraction

Graph Fractions on a Number Line. Objective D Graph Fractions on a Number Line.

Fractions on Number Lines Chapter 1 / Whole Numbers and Introduction to Algebra Fractions on Number Lines Another way to visualize fractions is to graph them on a number line. 3 5 equal parts 1

Example Graph the proper fraction on a number line. Divide the distance from 0 to 1 into 4 parts. Then start at 0 and count over 3 parts. 3 4

Example Graph the improper fraction on a number line. 8 3

Review Division Properties of 0 and 1. Objective E Review Division Properties of 0 and 1.

Division Properties of 0 and 1 Chapter 1 / Whole Numbers and Introduction to Algebra Division Properties of 0 and 1 If n is any integer other than 0, then If n is any integer, then

Examples Simplify. a. b. c. d. e. f. Objective A 21