Regrouping to Subtract Mixed Numbers 5 4 Numbers

Regrouping to Subtract Mixed Numbers 5 -4 Numbers Warm Up Problem of the Day Lesson Presentation Course 11 Course

5 -4 Regrouping to Subtract Mixed Numbers Warm Up Add or Subtract. 2 3 __ __ 1. 3 + 1 5 5 4 1 __ __ 3. 8 – 2 5 4 Course 1 5 9 11 __ 2. 7 + __ 11 11 9 __ 8 11 11 __ 6 20 1 1 __ __ 4. 6 – 1 3 9 2 __ 5 9

5 -4 Regrouping to Subtract Mixed Numbers Problem of the Day Complete the magic square so that every row, column, and diagonal, has the same sum. 1 7 5 1 __ __ __ 1__ 2 2 8 8 4 1 1 5 __ __ 1 1 2 4 8 7 __ 8 3 1 3 __ __ __ 1 14 1 18 8 3 3 1 __ __ __ 2 2 8 4 8 Course 1

5 -4 Regrouping to Subtract Mixed Numbers Learn to regroup mixed numbers to subtract. Course 1

5 -4 Regrouping to Subtract Mixed Numbers 3 Jimmy and his family planted a tree when it was 1__ ft 4 1 tall. Now the tree is 2 __ ft tall. How much has the tree 4 grown since it was planted? The difference in the heights can be represented by 1 3 __ __ 2 4 – 1 4. 1 __ You will need to regroup 2 4 because the fraction 3 1 __ __ in 1 is greater than. 4 4 1 Divide one whole of 2 __ into fourths. 4 Course 1

5 -4 Regrouping to Subtract Mixed Numbers 1 1 1 5 1 __ 4 Regroup 2 as 1 __. 4 4 1 1 1 4 4 4 1 1 4 4 1 __ 2 4 3 – 1 __ 4 ______ 5 1 __ 4 3 – 1__ 4 ______ 1 2 __ = __ 2 4 1 __ The tree has grown ft since it was planted. 2 Course 1

5 -4 Regrouping to Subtract Mixed Numbers Additional Example 1 A: Regrouping Mixed Numbers Subtract. Write each answer in simplest form. 1 5 __ 7 – 2 __ 6 6 1 7 __ 6 7 6 __ 6 5 – 2 __ 6 ______ Rename 7 1 __ 6 1 1 = 6 + __ as 6 + 1__ + __. 6 6 Subtract the fractions and then the whole numbers. 2 1 4 __ = 4 __ Write the answer in simplest 6 3 form. Course 1

5 -4 Regrouping to Subtract Mixed Numbers Additional Example 1 B: Regrouping Mixed Numbers Subtract. Write each answer in simplest form. 2 7 __ __ 8 – 6 5 10 4 8 __ 10 14 7 __ 10 7 – 6 __ 10 ______ 7 1 __ 10 Course 1 10 is a multiple of 5, so 10 is a common denominator. 4 4 4 = 7 + 10 __ + __ Rename 8 __ as 7 + 1 __. 10 10 Subtract the fractions and then the whole numbers.

5 -4 Regrouping to Subtract Mixed Numbers Additional Example 1 C: Regrouping Mixed Numbers Subtract. Write each answer in simplest form. 2 3 6 – 3 __ 6 2 – 3 ______ Course 1 3 5 __ 3 2 – 3 ______ 1 2 __ 3 Write 6 as a mixed number with a 3. denominator of 3. Rename 6 as 5 + __ 3 Subtract the fractions and then the whole numbers.

5 -4 Regrouping to Subtract Mixed Numbers Additional Example 1 D: Regrouping Mixed Numbers Subtract. Write each answer in simplest form. 3 1 __ __ 5 – 2 4 3 4 5 __ 12 16 4 __ 12 9 – 2 __ 12 ______ 7 2 __ 12 Course 1 The LCM of 4 and 3 is 12. 4 4 12 4 Rename 5 __ as 4 + 1 __= 4 + __. 12 12 Subtract the fractions and then the whole numbers.

5 -4 Regrouping to Subtract Mixed Numbers Check It Out: Example 1 A Subtract. Write each answer in simplest form. 1 5 __ __ 5 – 2 8 8 1 5 __ 8 5 – 2 __ 8 ______ 9 4 __ 8 5 – 2 __ 8 ______ 1 1 4 1 Rename 5 __ as 4 + 1 __ = 4 + __. 8 8 4 8 Subtract the fractions and then the whole numbers. 4 1 2 __ = 2 __ Write the answer in simplest 8 2 form. Course 1

5 -4 Regrouping to Subtract Mixed Numbers Check It Out: Example 1 B Subtract. Write each answer in simplest form. 1 7 __ __ 7 – 3 6 12 2 7 __ 12 14 6 __ 12 7 – 3 __ 12 ______ 7 3 __ 12 Course 1 12 is a multiple of 6, so 12 is a common denominator. 2 2 12 2 Rename 7 __ as 6 + 1 __= 6 + __. 12 12 Subtract the fractions and then the whole numbers.

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

5 -4 Regrouping to Subtract Mixed Numbers Check It Out: Example 1 D Subtract. Write each answer in simplest form. 1 2 8 __ – 4 __ 2 3 3 8 __ 6 9 7 __ 6 4 – 4 __ 6 ______ 5 3 __ 6 Course 1 The LCM of 2 and 3 is 6. 3 6 3 3 Rename 8 __ as 7 + 1 __= 7 + __. 6 6 Subtract the fractions and then the whole numbers.

5 -4 Regrouping to Subtract Mixed Numbers Additional Example 2 A: Measurement Application Li is making a quilt. She needs 15 yards of fabric. 3 __ Li has 2 yards of fabric. How many more yards does she 4 need? 4 14 __ Write 15 as a mixed number with a 4 4 denominator of 4. Rename 15 as 14 + __. 15 3 – 2 __ 4 ______ 3 Subtract the fractions and then the – 2 __ 4 whole numbers. ______ 12 4 Li needs another 12 Course 1 1 __ yards of fabric. 4 4

5 -4 Regrouping to Subtract Mixed Numbers Additional Example 2 B: Measurement Application 1 6 If Li uses 11 __ yards of fabric, how much of the 15 yards will she have left? 15 1 __ – 11 6 ______ 6 14 __ Write 15 as a mixed number with a 6 6 denominator of 6. Rename 15 as 14 + __. 6 1 __ Subtract the fractions and then the – 11 6 whole numbers. ______ 5 __ 3 6 Li will have 3 Course 1 5 __ yards of fabric. 6

5 -4 Regrouping to Subtract Mixed Numbers Check It Out: Example 2 A Peggy is making curtains. She needs 13 yards of fabric. 5 __ Peggy has 4 6 yards of fabric. How many more yards does she need? 13 5 – 4 __ 6 ______ 6 12 __ 6 5 – 4 __ 6 ______ Write 13 as a mixed number with a 6 __ denominator of 6. Rename 13 as 12 +. 6 Subtract the fractions and then the whole numbers. 1 __ 8 6 Peggy needs another 8 Course 1 1 __ yards of fabric. 6

5 -4 Regrouping to Subtract Mixed Numbers Check It Out: Example 2 B 1 __ If Peggy uses 9 yards of fabric, how much of the 13 4 yards will she have left? 13 1 – 9 __ 4 ______ 4 12 __ Write 13 as a mixed number with a 4 4 denominator of 4. Rename 13 as 12 + __. 1 Subtract the fractions and then the – 9 __ 4 whole numbers. ______ 3 4 Peggy will have 3 Course 1 3 __ yards of fabric left. 4 4

5 -4 Regrouping to Subtract Mixed Numbers Lesson Quiz Subtract. Write each answer in simplest form. 4 6 1. 7 __ – 3 __ 7 7 2 3. 7 – 5 __ 9 1 5 __ 3 7 7 __ 9 7 4 __ __ 2. 8 – 3 10 5 4 9 __ 10 13 9 3 4. 10 __ – 4 __ 5 __ 8 16 16 5. Irena put 10 cups of food in the bird feeder. The birds ate 5 3 3 __ cups. How many cups are left? 6__ cups 8 Course 1 8