tailieunhanh - Lecture Practical business math procedures (11/e) - Chapter 2: Fractions

After completing this chapter, students will be able to: 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, add like and unlike fractions, find the least common denominator (LCD) by inspection and prime numbers,. | Chapter Two Fractions 2-1 Learning unit objectives 2-2 LU 2-1: Types of Fractions and Conversion Procedures 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. LU 2-3: Multiplying and Dividing Fractions Multiply and divide proper fractions and mixed numbers. Use the cancellation method in the multiplication and division of fractions. LU 2-2: Adding and Subtraction of Fractions 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. Types of Fractions 2-3 1, 1, 1, 4, 18 4 2 12 7 55 Proper fractions have a value less than 1; its numerator is smaller than its denominator. Proper Numerator Denominator Types of Fractions 2-4 Improper Fractions Improper fractions have a value equal to or greater than 1; its . | Chapter Two Fractions 2-1 Learning unit objectives 2-2 LU 2-1: Types of Fractions and Conversion Procedures 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. LU 2-3: Multiplying and Dividing Fractions Multiply and divide proper fractions and mixed numbers. Use the cancellation method in the multiplication and division of fractions. LU 2-2: Adding and Subtraction of Fractions 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. Types of Fractions 2-3 1, 1, 1, 4, 18 4 2 12 7 55 Proper fractions have a value less than 1; its numerator is smaller than its denominator. Proper Numerator Denominator Types of Fractions 2-4 Improper Fractions Improper fractions have a value equal to or greater than 1; its numerator is equal to or greater than its denominator. 14, 7, 15, 22 14 6 14 19 Denominator Numerator 4 Types of Fractions 2-5 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 5 Converting Improper Fractions to Whole or Mixed Numbers 2-6 2 Steps 1. Divide the numerator of the improper fraction by the denominator 15 15 = 1 2. a. If you have no remainder, the quotient is a whole number 16 1 5 5 3 R 1 5 16 15 1 = 3 2 b. If you have a remainder, the quotient is a mixed remainder is placed over the old denominator as the proper fraction of the mixed number. 6 Converting Mixed Numbers to Improper Fractions 2-7 3 Steps 1. Multiply the denominator of the fraction by the whole number. (8 x 6) = 48 1 8 6 (8 x 6) = 48 48 + 1 = 49 2. Add the product from Step 1 to the numerator of the old fraction. 49 8 3. Place the total from Step 2 over the denominator of the old fraction to get the improper .