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Unit 02 · Fraction Operations and ModelsLesson

Day 016Fraction Products as Preparation

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 3/4 × 1/4. Simplify.

3/16

3/4 × 1/4 = 3/16.

WORKED EXAMPLE 2

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

2

2 × 1 = 2.

02 · PRACTICE

Your turn

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

  1. Calculate 1/2 × 1/2. Simplify.

  2. Calculate 1 × 1/4. Simplify.

  3. Calculate 3/4 × 1/2. Simplify.

  4. Calculate 1 × 1/8. Simplify.

  5. Calculate 1 × 2/3. Simplify.

  6. Calculate 3/5 × 5/8. Simplify.

  7. Calculate 2/3 × 1/5. Simplify and explain why your answer is reasonable.

  8. Calculate 1/2 × 1/5. Simplify and explain why your answer is reasonable.

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

  10. Calculate 4/3 × 5/2. Simplify and explain why your answer is reasonable.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 1/4

    1/2 × 1/2 = 1/4.

  2. 1/4

    1 × 1/4 = 1/4.

  3. 3/8

    3/4 × 1/2 = 3/8.

  4. 1/8

    1 × 1/8 = 1/8.

  5. 2/3

    1 × 2/3 = 2/3.

  6. 3/8

    3/5 × 5/8 = 3/8.

  7. 2/15

    2/3 × 1/5 = 2/15.

  8. 1/10

    1/2 × 1/5 = 1/10.

  9. 8/3

    8/3 × 1 = 8/3.

  10. 10/3

    4/3 × 5/2 = 10/3.

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