5-8 Adding and Subtracting Mixed Numbers Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Course Adding and Subtracting Mixed Numbers Warm Up Add. Write each answer in simplest form. 1. – – 7 12 __ __ __ __ __ __ 7 12 __

Course Adding and Subtracting Mixed Numbers Problem of the Day The sum of every row, column and diagonal is the same. Complete the magic square __ ___ __ __

Learning Goal Assignment Learn to add and subtract mixed numbers with unlike denominators. Course Adding and Subtracting Mixed Numbers

Course Adding and Subtracting Mixed Numbers Additional Example 1A: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. 1 8 __ __ Multiply the denominators. 8 · 6 = __ __ ______ Write equivalent fractions with a denominator of = __ __ Add the fractions and then whole numbers, and simplify. A

Course Adding and Subtracting Mixed Numbers Try This: Example 1A Find the sum. Write the answer in simplest form. 1 4 __ __ Multiply the denominators. 4 · 6 = __ __ ______ Write equivalent fractions with a denominator of = __ 5 12 __ Add the fractions and then whole numbers, and simplify. A

Course Adding and Subtracting Mixed Numbers Additional Example 1B: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 3 __ __ The LCD of the denominators is 12. –1 1 4 __ – __ ______ Write equivalent fractions with a denominator of __ Subtract the fractions and then the whole numbers. B. 5 – 1

Course Adding and Subtracting Mixed Numbers Try This: Example 1B Find the difference. Write the answer in simplest form. 1 2 __ __ The LCD of the denominators is 14. –1 3 7 __ – __ ______ Write equivalent fractions with a denominator of __ Subtract the fractions and then the whole numbers. B. 4 – 1

Course Adding and Subtracting Mixed Numbers Additional Example 1C: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. 1 2 __ __ The LCD of the denominators is __ __ ______ Write equivalent fractions with a denominator of = __ 3 10 __ Add the fractions and then the whole numbers. 6 = __ 3 10 __ C

Course Adding and Subtracting Mixed Numbers Try This: Example 1C Find the sum. Write the answer in simplest form. 7 8 __ __ The LCD of the denominators is __ __ ______ Write equivalent fractions with a denominator of = __ __ Add the fractions and then the whole numbers. 6 = __ __ C

Course Adding and Subtracting Mixed Numbers Additional Example 1D: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 3 __ Think: 9 is a multiple of 3, so 9 is the LCD. –3 2 9 __ – __ ______ Write equivalent fractions with a denominator of __ Subtract the fractions and then the whole numbers. D. 6 – 3

Course Adding and Subtracting Mixed Numbers Try This: Example 1D Find the difference. Write the answer in simplest form. 3 4 __ Think: 8 is a multiple of 4, so 8 is the LCD. –2 1 8 __ – __ ______ Write equivalent fractions with a denominator of __ Subtract the fractions and then the whole numbers. D. 7 – 2

Course Adding and Subtracting Mixed Numbers Additional Example 2: Measurement Application The length of Jen’s kitten’s body is 10 inches. Its tail is 5 inches long. What is the total length of its body and tail? 1 4 __ __ __ Find a common denominator. Write equivalent fractions with the LCD, 8, as the denominator __ __ ______ Add the fractions and then the whole numbers __ The total length of the kitten’s body and tail is 15 inches. You can use mental math to find an LCD. Think: 8 is a multiple of 4 and 8. Helpful Hint 3 8 __ Add

Course Adding and Subtracting Mixed Numbers Try This: Example 2 The length of Regina’s mouse’s body is 2 inches. Its tail is 2 inches long. What is the total length of its body and tail? 2 3 __ Find a common denominator. Write equivalent fractions with the LCD, 6, as the denominator __ __ ______ Add the fractions and then the whole numbers __ The total length of the mouse’s body and tail is 4 inches. 5 6 __ Add 2 +2

Lesson Quiz Find each sum or difference. Write the answer in simplest form – – 4 5. Miles worked 5 hours on Friday and 8 hours on Saturday. How many total hours did he work? __ __ __ __ __ 14 hours 5 12 __ Course Adding and Subtracting Mixed Numbers