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Unit 02 · Fraction Operations and ModelsLesson

Day 017Mixed Number Products

LearnClassworkAnswer keyPDF packet ↗
Standards 6.NS.A.1
LEARNING TARGET

I can use fraction multiplication to prepare for fraction division.

01 · LEARN

Build the idea

For a product of fractions, multiply numerators and multiply denominators, then simplify. Convert mixed numbers to improper fractions first. Multiplying by a fraction less than 1 makes a positive quantity smaller.

WORKED EXAMPLE 1

Calculate 2 1/4 × 2 1/4. Simplify.

81/16

9/4 × 9/4 = 81/16.

WORKED EXAMPLE 2

Calculate 1 1/2 × 2 1/4. Simplify and explain why your answer is reasonable.

27/8

3/2 × 9/4 = 27/8.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Calculate 2 3/4 × 1 1/4. Simplify.

  2. Calculate 2 1/4 × 2 1/4. Simplify.

  3. Calculate 3 1/4 × 2 1/4. Simplify.

  4. Calculate 2 1/2 × 2 1/2. Simplify.

  5. Calculate 2 1/2 × 2 1/3. Simplify.

  6. Calculate 1 3/4 × 2 1/4. Simplify.

  7. Calculate 2 3/4 × 2 1/3. Simplify and explain why your answer is reasonable.

  8. Calculate 3 1/4 × 1 1/2. Simplify and explain why your answer is reasonable.

  9. Calculate 3 3/4 × 1 1/2. Simplify and explain why your answer is reasonable.

  10. Calculate 1 3/4 × 2 1/2. Simplify and explain why your answer is reasonable.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 55/16

    11/4 × 5/4 = 55/16.

  2. 81/16

    9/4 × 9/4 = 81/16.

  3. 117/16

    13/4 × 9/4 = 117/16.

  4. 25/4

    5/2 × 5/2 = 25/4.

  5. 35/6

    5/2 × 7/3 = 35/6.

  6. 63/16

    7/4 × 9/4 = 63/16.

  7. 77/12

    11/4 × 7/3 = 77/12.

  8. 39/8

    13/4 × 3/2 = 39/8.

  9. 45/8

    15/4 × 3/2 = 45/8.

  10. 35/8

    7/4 × 5/2 = 35/8.

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