Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 3.4 Adding and Subtracting Mixed Numbers

Martin-Gay, Basic Mathematics, 4e 22 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Adding Mixed Numbers Recall that a mixed number has a whole number part and a fraction part. Adding or Subtracting Mixed Numbers To add or subtract mixed numbers, add or subtract the fraction parts and then add or subtract the whole number parts. P 204

Martin-Gay, Basic Mathematics, 4ed 33 Adding Mixed Numbers EXAMPLE SOLUTION Add: The LCD of 6 and 12 is 12. Add the fractions. Then add the whole numbers. P 204

Martin-Gay, Basic Mathematics, 4e 44 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example 1 Add: mixed fractions improper rather than mixed P 204 LCM = 24 for both

Martin-Gay, Basic Mathematics, 4e 55 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example 2 Add: P 205 LCM = 15

Martin-Gay, Basic Mathematics, 4ed 66 Adding Mixed Numbers Practice Problem 1 SOLUTION Add: The LCD of 6 and 5 is 30. Add the fractions. Then add the whole numbers. P 204

Martin-Gay, Basic Mathematics, 4e 77 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. StepExample Step 1: Write the prime factorization of each number. Step 2: Step 3: Prime factorization for 5: 5 Prime factorization for 6: 2, 3 P 205 Practice Problem 1 52, 3 Adding Mixed Numbers – using improper fraction

Martin-Gay, Basic Mathematics, 4ed 88 Adding Mixed Numbers Practice Problem 2 SOLUTION Add: The LCD of 7 and 14 is 14. Add the fractions. Then add the whole numbers. P 205

Martin-Gay, Basic Mathematics, 4e 99 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example 4 Subtract: P 206

Martin-Gay, Basic Mathematics, 4ed 10 Subtracting Mixed Numbers Practice Problem 4 SOLUTION Subtract: The LCD of 9 and 18 is 18. Subtract the fractions. Then subtract the whole numbers. P 206

Martin-Gay, Basic Mathematics, 4e 11 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example 5 Subtract: Need to borrow since you cannot subtract 3 – 12.

Martin-Gay, Basic Mathematics, 4ed 12 Subtracting Mixed Numbers Practice Problem 5 SOLUTION Subtract: The LCD of 5 and 15 is 15. Subtract the fractions. Then subtract the whole numbers. Because 7 is less than 9, we need to borrow 1 from 9. P 206

Martin-Gay, Basic Mathematics, 4e 13 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Example Two packages of ground round are purchased. One package weight 2 3/8 pounds and the other 1 4/5 pounds. What is the combined weight of the ground round?

Martin-Gay, Basic Mathematics, 4e 14 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. DONE

Martin-Gay, Basic Mathematics, 4e 15 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. StepExample Step 1: Write the prime factorization of each number. Step 2: Step 3: Prime factorization for 7: 7 Prime factorization for 14: 2, 7 P 205 Practice Problem 2 Adding Mixed Numbers

Martin-Gay, Basic Mathematics, 4e 16 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. StepExample Step 1: Write the prime factorization of each number. Step 2: Step 3: Prime factorization for 9: 3, 3 Prime factorization for 18: 2, 3, 3 P 206 Practice Problem 4 3, 32 Subtracting Mixed Numbers

Martin-Gay, Basic Mathematics, 4e 17 Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. StepExample Step 1: Write the prime factorization of each number. Step 2: Step 3: Prime factorization for 5: 5 Prime factorization for 15: 3, 5 P 206 Practice Problem 5 53 Subtracting Mixed Numbers