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Adding and Subtracting 4-11 Mixed Numbers Warm Up Problem of the Day Lesson Presentation Course 2 4-11 Adding and Subtracting Mixed Numbers Warm Up Add or subtract. 1. 3 + 4 7 8 8 8 2. 11 – 7 12 12 1 3 3. 2 – 1 4. Course 2 7 3 12 12 1 +1 – 3 3 6 10 1 5 4-11 Adding and Subtracting Mixed Numbers Problem of the Day Which of these four expressions is the largest value? 1 a. 13,579 + 2,468 b. 13,579 − 1 2,468 c. 13,579.2468 1 ÷ d. 13,579 2,468 Course 2 4-11 Adding and Subtracting Mixed Numbers Learn to add and subtract mixed numbers. Course 2 4-11 Adding and Subtracting Mixed Numbers Additional Example 1: Measurement Application 3 5 Kevin is 48 inches tall. His brother Keith is 5 8 8 inches taller. How tall is Keith ? 48 3 + 5 5 = 53 + 8 8 8 8 = 53 + 1 Add the integers and add the fractions. 8 Rewrite as 1. 8 Kevin is 54 inches tall. Helpful Hint A mixed number is the sum of an integer and a fraction: 3 4 = 3 + 4 . 5 Course 2 5 4-11 Insert Adding Lesson and Subtracting Mixed Numbers Title Here Try This: Example 1 2 Alvin weighs 72 3 lbs. His baby brother weighs 15 1 lbs. How much do they weigh together? 3 72 2 + 15 1 = 87 + 3 3 3 3 = 87 + 1 Add the integers and add the fractions. Rewrite 3 as 1. 3 Together they weigh 88 pounds. Course 2 4-11 Adding and Subtracting Mixed Numbers Additional Example 2A: Adding Mixed Numbers Add. Write the answer in simplest form. A. 9 2 +12 2 3 3 9 2 + 12 2 = 21 + 4 3 3 3 = 21 + 1 1 3 = 22 1 3 Course 2 Add the integers and add the fractions. Rewrite the improper fraction as a mixed number. 4-11 Adding and Subtracting Mixed Numbers Additional Example 2B: Adding Mixed Numbers Add. Write the answer in simplest form. B. 5 1 + 3 5 8 6 5 1 + 3 5 = 5 3 + 3 20 8 6 24 = 8 + 23 24 = 8 23 24 Course 2 24 Find a common denominator. Add the integers and add the fractions. Add. 4-11 Adding and Subtracting Mixed Numbers Try This: Example 2A Add. Write the answer in simplest form. A. 7 4 +10 2 5 5 7 4 + 10 2 = 17 + 6 5 5 5 = 17 + 1 1 5 = 18 1 5 Course 2 Add the integers and add the fractions. Rewrite the improper fraction as a mixed number. 4-11 Adding and Subtracting Mixed Numbers Try This: Example 2B Add. Write the answer in simplest form. B. 4 1 + 4 3 4 8 4 1 + 4 3= 4 2 + 4 3 4 8 8 =8+ 5 8 = 85 8 Course 2 8 Find a common denominator. Add the integers and add the fractions. Add. 4-11 Adding and Subtracting Mixed Numbers 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 Regroup. Rewrite 1 as a fraction with a common denominator. Add. Course 2 NUMBERS 1 7 =6+1+ 8 8 =6+ + 8 =69 8 1 8 1 8 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 4-11 Insert Adding Lesson and Subtracting Mixed Numbers Title Here Additional Example 3A: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. A. 4 2 – 2 1 3 3 4 2 – 2 1 = 2 + 1 Subtract integers and 3 3 3 subtract fractions. = 21 Add. 3 Course 2 4-11 Insert Adding Lesson and Subtracting Mixed Numbers Title Here Additional Example 3B: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. 2 B. 12 8 – 8 3 9 128 – 8 2 = 12 8 – 8 6 9 9 9 3 = 4+ 2 9 =42 9 Course 2 Find a common denominator. Subtract integers and subtract fractions. Add. 4-11 Adding and Subtracting Mixed Numbers Additional Example 3C: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. C. 17 1– 12 3 8 8 9– 3 1 3 16 12 17 – 12 = 8 8 8 8 =4+6 8 3 6 4 =4 = 4 8 Course 2 1 = 16+ 8+ 1 Regroup 17 . 8 8 8 Subtract integers and subtract fractions. Add and simplify. 4-11 Insert Adding Lesson and Subtracting Mixed Numbers Title Here Try This: Example 3A Subtract. Write the answer in simplest form. A. 3 4 – 2 1 5 5 3 4 – 2 1 = 1 + 3 Subtract integers and 5 5 5 subtract fractions. = 13 Add. 5 Course 2 4-11 Insert Adding Lesson and Subtracting Mixed Numbers Title Here Try This: Example 3B Subtract. Write the answer in simplest form. 3 B. 10 7 – 4 4 8 107 – 4 3 = 10 7 – 4 6 8 8 8 4 = 6+ 1 8 =61 8 Course 2 Find a common denominator. Subtract integers and subtract fractions. Add. 4-11 Adding and Subtracting Mixed Numbers Try This: Example 3C Subtract. Write the answer in simplest form. C. 14 1– 10 3 4 4 5– 3 1 3 13 10 14 – 10 = 4 4 4 4 =3+2 4 1 2 3 =3 = 2 4 Course 2 1 = 13+ 4+ 1 Regroup 14 . 4 4 4 Subtract integers and subtract fractions. Add and simplify. 4-11 Adding Subtracting Mixed Numbers Insert and Lesson Title Here Lesson Quiz Add or subtract. Write each answer in simplest form. 1. 2. 3. 4. 5 1 1 1012 5 +5 4 6 9 2 + 10 7 20 1 4 12 3 1 77 – 2 3 58 4 8 10 2 – 4 5 5 7 9 6 18 1 5. A single roll of wallpaper unrolls to 15 2 yards you hang 13 7yards from the roll. How much 8 wallpaper remains? 1 5 yards 8 Course 2

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