5-9 Renaming to Subtract Mixed Numbers Course 1 Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Course Renaming to Subtract Mixed Numbers Warm Up Add or Subtract – – __ __ 11 __ __ __ 2 9

Problem of the Day Complete the magic square so that every row, column, and diagonal, has the same sum. Course Renaming to Subtract Mixed Numbers __

Learning Goal Assignment Learn to rename mixed numbers to subtract. Course Renaming to Subtract Mixed Numbers

Course Renaming to Subtract Mixed Numbers Jimmy and his family planted a tree when it was 1 ft tall. Now the tree is 2 ft tall. How much has the tree grown since it was planted? 3 4 __ The difference in the heights is 2 – __ You will need to rename 2 because the fraction in 1 is greater than. 1 4 __ Divide one whole of 2 into fourths.

Course Renaming to Subtract Mixed Numbers __ –1 1 4 __ – 1 ______ = 2 4 __ Rename 2 as __ 5 4 The tree has grown ft since it was planted. 1 2 __

Course Renaming to Subtract Mixed Numbers Additional Example 1A: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 1 6 __ Rename 7 as = –2 5 6 __ –2 5 6 __ ______ __ Subtract the fractions and then the whole numbers. 1 6 __ Write the answer in simplest form. = __ A. 7 – 2

Course Renaming to Subtract Mixed Numbers Try This: Example 1A Subtract. Write each answer in simplest form. 1 8 __ Rename 5 as = –2 5 8 __ –2 5 8 __ ______ __ Subtract the fractions and then the whole numbers. 1 8 __ Write the answer in simplest form. = __ A. 5 – 2

Course Renaming to Subtract Mixed Numbers Additional Example 1B: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 2 5 __ 7 10 __ __ __ Rename 8 as = – __ – __ ______ ______ __ Subtract the fractions and then the whole numbers __ 4 10 __ 10 __ 4 10 __ 10 is a multiple of 5, so 10 is a common denominator. B. 8 – 6

Course Renaming to Subtract Mixed Numbers Try This: Example 1B Subtract. Write each answer in simplest form. 1 6 __ 7 12 __ __ __ Rename 7 as = – __ – __ ______ ______ __ Subtract the fractions and then the whole numbers __ 2 12 __ 12 __ 2 12 __ 12 is a multiple of 6, so 12 is a common denominator. B. 7 – 3

Course Renaming to Subtract Mixed Numbers Additional Example 1C: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 2 3 __ –3 2 3 __ –3 2 3 __ ______ ______ 2 Subtract the fractions and then the whole numbers. Write 6 as a mixed number with a denominator of 3. Rename 6 as __ 1 3 C. 6 – 3

Course Renaming to Subtract Mixed Numbers Try This: Example 1C Subtract. Write each answer in simplest form. 3 4 __ Write 5 as a mixed number with a denominator of 4. Rename 5 as 4 +. –2 3 4 __ –2 3 4 __ ______ ______ 2 Subtract the fractions and then the whole numbers. 4 4 __ 1 4 C. 5 – 2

Course Renaming to Subtract Mixed Numbers Additional Example 1D: Renaming Mixed Numbers Subtract. Write each answer in simplest form. 1 3 __ __ __ – __ – __ ______ ______ __ Subtract the fractions and then the whole numbers. Rename 5 as = __ 4 12 __ 12 __ 4 12 __ The LCM of 4 and 3 is 12. D. 5 – 2

Course Renaming to Subtract Mixed Numbers Try This: Example 1D Subtract. Write each answer in simplest form. 1 2 __ Rename 8 as = –4 4 6 __ –4 4 6 __ ______ ______ __ Subtract the fractions and then the whole numbers. 3 6 __ The LCM of 2 and 3 is 6. D. 8 – 4

Course Renaming to Subtract Mixed Numbers Additional Example 2A: Measurement Application Li is making a quilt. She needs 15 yards of fabric. A. Li has 2 yards of fabric. How many more yards does she need? 3 4 __ __ Write 15 as a mixed number with a denominator of 4. Rename 15 as –2 3 4 __ –2 3 4 __ ______ ______ 12 Subtract the fractions and then the whole numbers. 4 4 __ 1 4 Li needs another 12 yards of fabric. 1 4 __

Course Renaming to Subtract Mixed Numbers Try This: Example 2A Peggy is making curtains. She needs 13 feet of fabric. A. Peggy has 4 yards of fabric. How many more yards does she need? 5 6 __ __ Write 13 as a mixed number with a denominator of 6. Rename 13 as –4 5 6 __ –4 5 6 __ ______ ______ 8 Subtract the fractions and then the whole numbers. 6 6 __ 1 6 Peggy needs another 8 yards of fabric. 1 6 __

Course Renaming to Subtract Mixed Numbers Additional Example 2B: Measurement Application B. If Li uses 11 yards of fabric, how much of the 15 yards will she have left? 1 6 __ __ Write 15 as a mixed number with a denominator of 6. Rename 15 as – __ – __ ______ ______ 3 Subtract the fractions and then the whole numbers. 6 6 __ 5 6 Li will have 3 yards of fabric. 5 6 __

Course Renaming to Subtract Mixed Numbers Try This: Example 2B B. If Peggy uses 9 yards of fabric, how much of the 13 yards will she have left? 1 4 __ __ Write 13 as a mixed number with a denominator of 4. Rename 13 as –9 1 4 __ –9 1 4 __ ______ ______ 3 Subtract the fractions and then the whole numbers. 4 4 __ 3 4 Peggy will have 3 yards of fabric left. 3 4 __

Lesson Quiz Insert Lesson Title Here Course Renaming to Subtract Mixed Numbers Subtract. Write each answer in simplest form – – – – 4 5. Irena put 10 cups of food in the bird feeder. The birds ate 3 cups. How many cups are left? 4 7 __ __ __ __ __ 6 cups 5 8 __