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Mastering Subtraction of Mixed Numbers: Renaming and Regrouping Techniques

In this lesson, students will learn how to subtract mixed numbers by renaming and regrouping fractions. Understanding key concepts such as equivalent fractions, mixed numbers, and unlike fractions is essential. The lesson outlines a step-by-step approach for subtraction requiring regrouping, including renaming with common denominators and simplifying results. Practical applications, such as solving a real-world problem involving fabric measurement, will reinforce these skills. Homework assignments will provide further practice on the concepts discussed.

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Mastering Subtraction of Mixed Numbers: Renaming and Regrouping Techniques

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  1. MSM6 Lesson 5-9 Renaming to Subtract Mixed Numbers

  2. 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.

  3. Subtracting fractions with regrouping To subtract fractions that require regrouping, there are four steps you must follow: • Rename with common denominators • Regroup the first fraction • Subtract the whole numbers and numerators • Simplify (if necessary)

  4. Skills – Renaming Mixed Numbers • Rename as • Subtract the whole numbers and the fractions. • Write the answer in simplest form.

  5. 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

  6. 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.

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