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

Warm Up Add or subtract Course Adding and Subtracting Mixed Numbers – – –

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

Learn to add and subtract mixed numbers. Course Adding and Subtracting Mixed Numbers

Additional Example 1: Measurement Application Kevin is 48 inches tall. His brother Keith is inches taller. How tall is Keith ? = Add the integers and add the fractions. = 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 Course Adding and Subtracting Mixed Numbers

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

Add. Write the answer in simplest form. Additional Example 2A: Adding Mixed Numbers A = Add the integers and add the fractions. = Rewrite the improper fraction as a mixed number. = Course Adding and Subtracting Mixed Numbers

Add. Write the answer in simplest form. Additional Example 2B: Adding Mixed Numbers B Find a common denominator. = = Add the integers and add the fractions. Add. = Course Adding and Subtracting Mixed Numbers

Add. Write the answer in simplest form. Try This: Example 2A A = Add the integers and add the fractions. = Rewrite the improper fraction as a mixed number. = Course Adding and Subtracting Mixed Numbers

Add. Write the answer in simplest form. Try This: Example 2B B Find a common denominator. = = Add the integers and add the fractions. Add. = Course 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 NUMBERS = = = Rewrite 1 as a fraction with a common denominator. Regroup. Add. Course Adding and Subtracting Mixed Numbers

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

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

Additional Example 3B: Subtracting Mixed Numbers Subtract. Write the answer in simplest form. Insert Lesson Title Here B – – = 8989 – Find a common denominator. = = Subtract integers and subtract fractions. Add. Course Adding and Subtracting Mixed Numbers

Subtract. Write the answer in simplest form. Additional Example 3C: Subtracting Mixed Numbers C – – 12 = – = Regroup = Subtract integers and subtract fractions. = = Add and simplify. Course Adding and Subtracting Mixed Numbers

Try This: Example 3A Subtract. Write the answer in simplest form. Insert Lesson Title Here A – – = Subtract integers and subtract fractions. = Add. Course Adding and Subtracting Mixed Numbers

Try This: Example 3B Subtract. Write the answer in simplest form. Insert Lesson Title Here B – – = 7878 – Find a common denominator. = = Subtract integers and subtract fractions. Add. Course Adding and Subtracting Mixed Numbers

Subtract. Write the answer in simplest form. Try This: Example 3C C – – 10 = – = Regroup = Subtract integers and subtract fractions. = = Add and simplify. Course Adding and Subtracting Mixed Numbers

Lesson Quiz Add or subtract. Write each answer in simplest form Insert Lesson Title Here – – A single roll of wallpaper unrolls to 15 yards 1212 you hang 13 yards from the roll. How much 7878 wallpaper remains? yards 5858 Course Adding and Subtracting Mixed Numbers