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4-11

Adding and Subtracting Mixed Numbers. 4-11. Course 2. Warm Up. Problem of the Day. Lesson Presentation. 4-11. Adding and Subtracting Mixed Numbers. Course 2. Warm Up Add or subtract. 1. 2. 3. 3 8. 4 8. 7 8. +. 7 12. 11 12. 1 3. –. 1 12. 7 12. 2 3.

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

  2. 4-11 Adding and Subtracting Mixed Numbers Course 2 Warm Up Add or subtract. 1. 2. 3. 3 8 4 8 7 8 + 7 12 11 12 1 3 – 1 12 7 12 2 3 – 1 3 1 6 3 10 1 5 4. + –

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

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

  5. 4-11 Adding and Subtracting Mixed Numbers Helpful Hint A mixed number is the sum of an integer and a fraction: 3 = 3 + . Course 2 Additional Example 1: Measurement Application 3 8 5 8 Kevin is 48 inches tall. His brother Keith is 5 inches taller. How tall is Keith ? 8 8 3 8 5 8 Add the integers and add the fractions. + 5 48 + = 53 8 8 53 + 1 = Rewrite as 1. Kevin is 54 inches tall. 4 5 4 5

  6. 4-11 Adding and Subtracting Mixed Numbers Course 2 Insert Lesson Title Here Try This: Example 1 2 3 Alvin weighs 72 lbs. His baby brother weighs 15 lbs. How much do they weigh together? 1 3 3 3 2 3 + 1 3 Add the integers and add the fractions. 15 72 87 + = 3 3 as 1. 87 + 1 Rewrite = Together they weigh 88 pounds.

  7. 4-11 Adding and Subtracting Mixed Numbers 4 3 2 3 2 3 9 = 12 21 + + 1 3 = 21 + 1 1 3 = 22 Course 2 Additional Example 2A: Adding Mixed Numbers Add. Write the answer in simplest form. 2 3 2 3 A. 9 + 12 Add the integers and add the fractions. Rewrite the improper fraction as a mixed number.

  8. 4-11 Adding and Subtracting Mixed Numbers 3 24 1 8 20 24 5 6 + 3 5 = 5 + 3 23 24 = 8 + 23 24 = 8 Course 2 Additional Example 2B: Adding Mixed Numbers Add. Write the answer in simplest form. 1 8 5 6 B. 5 + 3 Find a common denominator. Add the integers and add the fractions. Add.

  9. 4-11 Adding and Subtracting Mixed Numbers 6 5 4 5 2 5 7 = 10 17 + + 1 5 = 17 + 1 1 5 = 18 Course 2 Try This: Example 2A Add. Write the answer in simplest form. 4 5 2 5 A. 7 + 10 Add the integers and add the fractions. Rewrite the improper fraction as a mixed number.

  10. 4-11 Adding and Subtracting Mixed Numbers 2 8 1 4 3 8 3 8 + 4 4 = 4 + 4 5 8 = 8 + 5 8 = 8 Course 2 Try This: Example 2B Add. Write the answer in simplest form. 1 4 3 8 B. 4 + 4 Find a common denominator. Add the integers and add the fractions. Add.

  11. 4-11 Adding and Subtracting Mixed Numbers 1 8 1 8 = 6 + 1 + 7 1 8 8 8 + = 6 + 9 8 = 6 Course 2 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 Regroup. Rewrite 1 as a fraction with a common denominator. Add.

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

  13. 4-11 Adding and Subtracting Mixed Numbers 2 3 1 3 1 3 = 4 2 2 + – = 1 3 2 Course 2 Insert Lesson Title Here Additional Example 3A: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. 1 3 2 3 2 A. 4 – Subtract integers and subtract fractions. Add.

  14. 4-11 Adding and Subtracting Mixed Numbers 8 9 6 9 8 9 2 3 = 8 12 12 8 – – 2 9 = 4 + 2 9 = 4 Course 2 Insert Lesson Title Here Additional Example 3B: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. 2 3 8 9 8 B. 12 – Find a common denominator. Subtract integers and subtract fractions. Add.

  15. 4-11 Adding and Subtracting Mixed Numbers 9 8 1 8 1 8 8 8 3 8 1 8 3 8 = 16+ 16 – + Regroup 17 . 12 – 12 = 17 6 8 = 4 + 3 4 6 8 4 = 4 = Course 2 Additional Example 3C: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. 1 8 3 8 – 17 12 C. Subtract integers and subtract fractions. Add and simplify.

  16. 4-11 Adding and Subtracting Mixed Numbers 4 5 1 5 3 5 = 3 2 1 + – = 3 5 1 Course 2 Insert Lesson Title Here Try This: Example 3A Subtract. Write the answer in simplest form. 1 5 4 5 2 A. 3 – Subtract integers and subtract fractions. Add.

  17. 4-11 Adding and Subtracting Mixed Numbers 7 8 6 8 7 8 3 4 = 4 10 10 4 – – 1 8 = 6 + 1 8 = 6 Course 2 Insert Lesson Title Here Try This: Example 3B Subtract. Write the answer in simplest form. 3 4 7 8 4 B. 10 – Find a common denominator. Subtract integers and subtract fractions. Add.

  18. 4-11 Adding and Subtracting Mixed Numbers 5 4 1 4 1 4 4 4 3 4 1 4 3 4 = 13+ 13 – + Regroup 14 . 10 – 10 = 14 2 4 = 3 + 1 2 2 4 3 = 3 = Course 2 Try This: Example 3C Subtract. Write the answer in simplest form. 1 4 3 4 – 14 10 C. Subtract integers and subtract fractions. Add and simplify.

  19. 4-11 Adding and Subtracting Mixed Numbers 5 12 10 1 4 20 1 8 5 7 18 5 5 8 1 yards Course 2 Insert Lesson Title Here Lesson Quiz Add or subtract. Write each answer in simplest form. 1. 5 2. 9 3. 7 4. 10 1 4 1 6 5 + 7 12 2 3 + 10 3 4 7 8 – 2 2 9 5 6 – 4 1 2 5. A single roll of wallpaper unrolls to 15 yards 7 8 you hang 13 yards from the roll. How much wallpaper remains?

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