3 Chapter Chapter 2 Fractions and Mixed Numbers

Operations on Mixed Numbers Section 3.7 Operations on Mixed Numbers

Graph Positive and Negative Fractions and Mixed Numbers. Objective A Graph Positive and Negative Fractions and Mixed Numbers.

Example Graph the numbers on a number line:

Multiply or Divide Mixed or Whole Numbers. Objective B Multiply or Divide Mixed or Whole Numbers.

Multiplying or Dividing Fractions and Mixed Numbers or Whole Numbers To multiply or divide with mixed numbers or whole numbers, first write any mixed or whole numbers as improper fractions and then multiply or divide as usual.

Example Divide Objective C

Example Multiply 10 by Objective B

Example Multiply Objective B

Example Divide: Objective B

Example Divide: Objective B

Add or Subtract Mixed Numbers. Objective C Add or Subtract Mixed Numbers.

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.

Example Add: The LCD of 6 and 12 is 12. Add the fractions. Objective A Add the fractions. Then add the whole numbers.

Example Add: The LCD of the denominators 7 and 5 is 35.

Example Subtract: The LCD of 5 and 25 is 25. Because 5 is less than 6, we need to borrow 1 from 9. Objective B Subtract the fractions. Then subtract the whole numbers.

Example Subtract: Borrow 1 from 25 and write it as 9/9.

Solve Problems Containing Mixed Numbers. Objective D Solve Problems Containing Mixed Numbers.

Example The traveler’s overweight charges will be based on If the total weight allowable without overweight charges is 50 pounds and the traveler’s luggage weighs pounds, on how many pounds will the traveler’s overweight charges be based? Objective C Subtract the fractions. Then subtract the whole numbers. The traveler’s overweight charges will be based on

Example A nacho recipe calls for cup cheddar cheese and cup jalapeño cheese. Find the total amount of cheese in the recipe. Objective A

Perform Operations on Negative Mixed Numbers. Objective E Perform Operations on Negative Mixed Numbers.

Example Write each as a mixed number. a. b.

Operating on Negative Mixed Numbers Divide: Objective C

Example Add: Here we are adding two numbers with different signs. Recall that we then subtract the absolute values and keep the sign of the larger absolute value. In this case the answer will be negative.