1. 5-3 Adding and Subtracting Mixed Numbers Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

2. 5-3 Adding and Subtracting Mixed Numbers Warm Up Add or subtract. Write each answer in simplest form. 1. 2. 3. 4. 1 12 __ 31 33 __ 11 12 __ 7 12 __

3. 5-3 Adding and Subtracting Mixed Numbers Problem of the Day The sum of every row, column and diagonal is the same. Complete the magic square. 1 3 4 __ 11 12 ___ 1 1 3 __ 1 1 6 12 1 1 __ 5 6 2 3 1 4 1

4. 5-3 Adding and Subtracting Mixed Numbers Learn to add and subtract mixed numbers with unlike denominators.

5. 5-3 Adding and Subtracting Mixed Numbers Additional Example 1A: Adding and Subtracting Mixed Numbers Find the sum. Write the answer in simplest form. 1 8 __ 5 6 3 1 8 3 6 48 __ Multiply the denominators. 8 · 6 = 48 +1 5 6 __ + 1 40 48 __ ______ Write equivalent fractions with a denominator of 48. 4 = 4 46 48 __ 23 24 __ Add the fractions and then whole numbers, and simplify. 3 + 1 3 + 2 = 5 Estimate the sum. 4 is close to the estimate of 5. The answer is reasonable. 46 48 __

6. 5-3 Adding and Subtracting Mixed Numbers Additional Example 1B: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 3 __ 1 4 5 2 3 5 8 12 __ The LCD of 3 and 4 is 12. –1 1 4 __ – 1 3 12 __ ______ Write equivalent fractions with a denominator of 12. 4 5 12 __ Subtract the fractions and then the whole numbers. 5 – 1 6 – 1 = 5 Estimate the difference. 4 is close to the estimate 5. The answer is reasonable. 5 12 __

7. 5-3 Adding and Subtracting Mixed Numbers Additional Example 1C: Adding and Subtracting Mixed Numbers Find the difference. Write the answer in simplest form. 2 3 __ 2 9 6 2 3 6 6 9 Think: 9 is a multiple of 3, so 9 is the LCD. –3 2 9 __ – 3 2 9 __ ______ Write equivalent fractions with a denominator of 9. 3 4 9 __ Subtract the fractions and then the whole numbers. 6 – 3 3 is close to the estimate 4. The answer is reasonable. 7 – 3 = 4 Estimate the difference. 4 9 __

8. 5-3 Adding and Subtracting Mixed Numbers Check It Out: Example 1A Find the sum. Write the answer in simplest form. 1 4 __ 1 6 2 1 4 2 6 24 __ Multiply the denominators. 4 · 6 = 24 +3 1 6 __ + 3 4 24 __ ______ Write equivalent fractions with a denominator of 24. 5 = 5 10 24 __ 5 12 __ Add the fractions and then whole numbers, and simplify. 2 + 3 5 is close to the estimate 5. The answer is reasonable. 5 12 __ 2 + 3 = 5 Estimate the sum.

9. 5-3 Adding and Subtracting Mixed Numbers Check It Out: Example 1B Find the difference. Write the answer in simplest form. 1 2 __ 3 7 4 1 2 4 7 14 __ The LCD of 2 and 7 is 14. –1 3 7 __ – 1 6 14 __ ______ Write equivalent fractions with a denominator of 14. 3 1 14 __ Subtract the fractions and then the whole numbers. 4 – 1 3 is close to the estimate 3. The answer is reasonable. 1 14 __ 5 – 2 = 3 Estimate the difference.

10. 5-3 Adding and Subtracting Mixed Numbers Check It Out: Example 1C Find the difference. Write the answer in simplest form. 3 4 __ 1 8 7 3 4 7 6 8 Think: 8 is a multiple of 4, so 8 is the LCD. –2 1 8 __ – 2 1 8 __ ______ Write equivalent fractions with a denominator of 8. 5 5 8 __ Subtract the fractions and then the whole numbers. 7 – 2 5 is close to the estimate 6. The answer is reasonable. 8 – 2 = 6 Estimate the difference. 5 8 __

11. 5-3 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 __ 1 8 10 1 4 __ 10 2 8 __ Find a common denominator. Write equivalent fractions with the LCD, 8, as the denominator. +5 1 8 __ + 5 1 8 __ ______ Add the fractions and then the whole numbers. 15 3 8 __ 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 __ 1 4 1 8 Add 10 + 5

12. 5-3 Adding and Subtracting Mixed Numbers Check It Out: 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 __ 1 6 2 2 3 2 4 6 Find a common denominator. Write equivalent fractions with the LCD, 6, as the denominator. +2 1 6 __ + 2 1 6 __ ______ Add the fractions and then the whole numbers. 4 5 6 __ The total length of the mouse’s body and tail is 4 inches. 5 6 __ 2 3 1 6 Add 2 +2.

13. 5-3 Adding and Subtracting Mixed Numbers Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

14. 5-3 Adding and Subtracting Mixed Numbers Lesson Quiz Find each sum or difference. Write the answer in simplest form. 1. 2. 3. 4. 5. Miles worked 5 hours on Friday and 8 hours on Saturday. How many total hours did he work? 2 3 __ 3 4 3 1 4 16 13 24 __ 8 7 40 __ 6 7 30 __ 14 hours 5 12 __

15. 5-3 Adding and Subtracting Mixed Numbers 1. Identify the difference in the simplest form. A. C. B. D. Lesson Quiz for Student Response Systems

16. 5-3 Adding and Subtracting Mixed Numbers 2. Identify the sum in the simplest form. A. C. B. D. Lesson Quiz for Student Response Systems

17. 5-3 Adding and Subtracting Mixed Numbers 3. Identify the sum in the simplest form. A. C. B. D. Lesson Quiz for Student Response Systems

18. 5-3 Adding and Subtracting Mixed Numbers 4. Identify the difference in the simplest form. A. C. B. D. Lesson Quiz for Student Response Systems

19. 5-3 Adding and Subtracting Mixed Numbers 5. Shiloh bought pounds of bananas and pounds of apples. How many pounds of fruits did she buy? A. C. B. D. Lesson Quiz for Student Response Systems