1. 4-11 Adding and Subtracting Mixed Numbers Course 2 Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

2. Warm Up Add or subtract. 1. 2. 3. Course 2 4-11 Adding and Subtracting Mixed Numbers 3838 4 8 + 11 12 – 7 12 2323 – 1 12 4. 1313 + 1616 – 3 10 7878 1313 7 12 1515

3. Problem of the Day Which of these four expressions is the largest value? a. 13,579 + 1 2,468 b. 13,579 − 1 2,468 c. 13,579.2468 d. 13,579 ÷ 1 2,468 Course 2 4-11 Adding and Subtracting Mixed Numbers

4. Learn to add and subtract mixed numbers. Course 2 4-11 Adding and Subtracting Mixed Numbers

5. Additional Example 1: Measurement Application Kevin is 48 inches tall. His brother Keith is 5 3838 5858 inches taller. How tall is Keith ? 48 3838 + 5 5858 = 53 8888 + Add the integers and add the fractions. = 53 + 1 Rewrite 8888 as 1. Kevin is 54 inches tall. A mixed number is the sum of an integer and a fraction: 3 = 3 +. Helpful Hint 4545 4545 Course 2 4-11 Adding and Subtracting Mixed Numbers

6. Try This: Example 1 Insert Lesson Title Here Alvin weighs 72 lbs. His baby brother weighs 15 lbs. How much do they weigh together? 72 2323 + 15 1313 = 87 3333 + Add the integers and add the fractions. = 87 + 1 Rewrite 3333 as 1. Together they weigh 88 pounds. 2323 1313 Course 2 4-11 Adding and Subtracting Mixed Numbers

7. Add. Write the answer in simplest form. Additional Example 2A: Adding Mixed Numbers A. 9 2323 + 12 2323 9 2323 + 2323 = 21 + 4343 Add the integers and add the fractions. = 21 + 1 1313 Rewrite the improper fraction as a mixed number. =22 1313 Course 2 4-11 Adding and Subtracting Mixed Numbers

8. Add. Write the answer in simplest form. Additional Example 2B: Adding Mixed Numbers B. 5 1818 + 3 5656 5 1818 + 3 5656 Find a common denominator. = 8 + 23 24 = 8 23 24 Add the integers and add the fractions. Add. = 5 + 3 20 24 3 24 Course 2 4-11 Adding and Subtracting Mixed Numbers

9. Add. Write the answer in simplest form. Try This: Example 2A A. 7 4545 + 10 2525 7 4545 + 2525 = 17 + 6565 Add the integers and add the fractions. = 17 + 1 1515 Rewrite the improper fraction as a mixed number. =18 1515 Course 2 4-11 Adding and Subtracting Mixed Numbers

10. Add. Write the answer in simplest form. Try This: Example 2B B. 4 1414 + 4 3838 4 1414 + 4 3838 Find a common denominator. = 8 + 5858 = 8 5858 Add the integers and add the fractions. Add. = 4 + 4 3838 2 8 Course 2 4-11 Adding and Subtracting Mixed Numbers

11. Sometimes when you subtract mixed numbers, the fraction portion of the first number is less than the fraction portion of the second number. In these cases, you must regroup before subtracting. REGROUPING MIXED NUMBERS WORDS NUMBERS 1818 7 = 6 + 1 + 1818 8888 = 6 + + 1818 = 6 9898 Rewrite 1 as a fraction with a common denominator. Regroup. Add. Course 2 4-11 Adding and Subtracting Mixed Numbers

12. Remember! Any fraction in which the numerator and denominator are the same is equal to 1. Course 2 4-11 Adding and Subtracting Mixed Numbers

13. Additional Example 3A: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. Insert Lesson Title Here A. 4 2323 – 2 1313 4 2323 – 2 1313 = 2 + 1313 Subtract integers and subtract fractions. = 2 1313 Add. Course 2 4-11 Adding and Subtracting Mixed Numbers

14. Additional Example 3B: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. Insert Lesson Title Here B.12 8989 – 8 2323 8989 – 8 2323 = 8989 – 8 6969 Find a common denominator. = 4 + 2929 = 4 2929 Subtract integers and subtract fractions. Add. Course 2 4-11 Adding and Subtracting Mixed Numbers

15. Subtract. Write the answer in simplest form. Additional Example 3C: Subtracting Mixed Numbers C. 17 1818 – 12 3838 17 1818 – 12 = 3838 16 9898 – 12 3838 = 4 + 6868 Regroup 17 1818 = 16+ 8888 + 1818. Subtract integers and subtract fractions. = 4 6868 = 4 3434 Add and simplify. Course 2 4-11 Adding and Subtracting Mixed Numbers

16. Try This: Example 3A Subtract. Write the answer in simplest form. Insert Lesson Title Here A. 3 4545 – 2 1515 3 4545 – 2 1515 = 1 + 3535 Subtract integers and subtract fractions. = 1 3535 Add. Course 2 4-11 Adding and Subtracting Mixed Numbers

17. Try This: Example 3B Subtract. Write the answer in simplest form. Insert Lesson Title Here B.10 7878 – 4 3434 7878 – 4 3434 = 7878 – 4 6868 Find a common denominator. = 6 + 1818 = 6 1818 Subtract integers and subtract fractions. Add. Course 2 4-11 Adding and Subtracting Mixed Numbers

18. Subtract. Write the answer in simplest form. Try This: Example 3C C. 14 1414 – 10 3434 14 1414 – 10 = 3434 13 5454 – 10 3434 = 3 + 2424 Regroup 14 1414 = 13+ 4444 + 1414. Subtract integers and subtract fractions. = 3 2424 = 3 1212 Add and simplify. Course 2 4-11 Adding and Subtracting Mixed Numbers

19. Lesson Quiz Add or subtract. Write each answer in simplest form. 1. 5 2. 9 3. 7 4. 10 Insert Lesson Title Here 1414 + 5 1616 2323 + 10 7 12 7878 – 2 3434 2929 – 4 5656 5. A single roll of wallpaper unrolls to 15 yards 1212 you hang 13 yards from the roll. How much 7878 wallpaper remains? 10 5 12 20 1414 5 1818 5 7 18 1 yards 5858 Course 2 4-11 Adding and Subtracting Mixed Numbers