tailieunhanh - Lecture Practical business math procedures (10/e): Chapter 2 - Jeffrey Slater

Chapter 2 - Fractions. After reading this chapter, you should have a good understanding of the following learning objectives: Types of fractions and conversion procedures, adding and subtracting fractions, multiplying and dividing fractions. | Chapter 2 Fractions McGraw-Hill/Irwin ©2011 The McGraw-Hill Companies, All Rights Reserved Recognize the three types of fractions Convert improper fractions to whole or mixed numbers and mixed numbers to improper fractions Convert fractions to lowest and highest terms Fractions #2 Learning Unit Objectives Types of Fractions and Conversion Procedures 2- Add like and unlike fractions Find the least common denominator (LCD) by inspection and prime numbers Subtract like and unlike fractions Add and subtract mixed numbers with the same or different denominators Fractions #2 Learning Unit Objectives Adding and Subtraction of Fractions 2- Multiply and divide proper fractions and mixed numbers Use the cancellation method in the multiplication and division of fractions Fractions #2 Learning Unit Objectives Multiplying and Dividing Fractions 2- Types of Fractions 1, 1, 1, 4, 18 4 2 12 7 55 Proper Numerator Denominator Proper fractions have a value . | Chapter 2 Fractions McGraw-Hill/Irwin ©2011 The McGraw-Hill Companies, All Rights Reserved Recognize the three types of fractions Convert improper fractions to whole or mixed numbers and mixed numbers to improper fractions Convert fractions to lowest and highest terms Fractions #2 Learning Unit Objectives Types of Fractions and Conversion Procedures 2- Add like and unlike fractions Find the least common denominator (LCD) by inspection and prime numbers Subtract like and unlike fractions Add and subtract mixed numbers with the same or different denominators Fractions #2 Learning Unit Objectives Adding and Subtraction of Fractions 2- Multiply and divide proper fractions and mixed numbers Use the cancellation method in the multiplication and division of fractions Fractions #2 Learning Unit Objectives Multiplying and Dividing Fractions 2- Types of Fractions 1, 1, 1, 4, 18 4 2 12 7 55 Proper Numerator Denominator Proper fractions have a value less than 1; its numerator is smaller than its denominator. Types of Fractions 14, 7, 15, 22 14 6 14 19 Improper Denominator Improper Fractions have a value equal to or greater than 1; its numerator is equal or greater than its denominator. Numerator Types of Fractions 1, 9, 7, 5, 9 6 10 8 6 11 5 5 8 33 Mixed Numbers Mixed numbers are the sum of a whole number greater than zero and a proper fraction 139 Converting Mixed Numbers to Improper Fractions Mixed Numbers 3 Steps 1. Multiply the denominator of the fraction by the whole number. 2. Add the product from Step 1 to the numerator of the old fraction. 3 Place the total from Step 2 over the denominator of the old fraction to get the improper fraction. (8 x 6) = 48 (8 x 6) = 48 48 + 1 = 49 49 8 1 8 6 Reducing Fractions to Lowest Terms by Inspection Find the lowest whole number that will divide evenly into the numerator and denominator 24 24 / 6 4 30 30 / 6 5 = = Finding the Greatest Common Divisor Step 1. Divide the