MSM6

Lesson 5-9 Renaming to Subtract

Mixed Numbers

Vocabulary

• Renaming or equivalent fractions – Changing a fraction or a mixed number into an equivalent fraction, mixed number with an improper fraction, or improper fraction.

• Regrouping (Borrowing) to complete a fraction subtraction.

• Mixed Number – A number that contains both a whole number greater than 0 and a fraction.

• Equivalent Fractions – Fractions that name the same amount or part.

• Unlike Fractions – Fractions with different denominators.

Subtracting fractions with regrouping

To subtract fractions that require regrouping, there are four steps you must follow:1.Rename with common denominators2.Regroup the first fraction3.Subtract the whole numbers and numerators4.Simplify (if necessary)

The problem

Rename with common denominators

Regroup the first fraction

Subtract the whole numbers and fractions

Simplify (if necessary)

211

312

631

622

32311

23212

681

66

621

622

65

65

650)

63

68()11(

631

681

Skills – Renaming Mixed Numbers• Rename as

• Subtract the whole numbers and the fractions.

• Write the answer in simplest form.

1272

1256

1256 12

175125

12125

12515

12103

12103)

127

1217()25(

1272

12175

653

12103

Skills – Word Problem Application• Dave is recovering an old couch and cushions. He

determines that he needs 17 yards of fabric for the job. If Dave uses yards of fabric to cover the couch frame, how many more yards does he need? – Write 17 as a mixed number with the fraction’s

denominator of 6. Rename 17 as:

– Subtract the whole numbers and the fractions.

– Simplify if necessary

6616

661617

659

617

617)

65

66()916(

659

6616

617

Homework

• (L5-9) Renaming to Subtract Mixed Numbers, pp. 252 – 255

• Homework - Online Quia Other Quizzes, MSM6 Lesson 5-9, Renaming to Subtract Mixed Numbers, problems 1-4.

• OR• Homework – Textbook, Practice and Problem

Solving, p. 254, problems 16, 20, 24, and 28.