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Unit 02 · Fraction Operations and ModelsLesson

Day 026Interpreting Fraction Division Stories

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

I can write and solve a fraction-division equation for a situation.

01 · LEARN

Build the idea

Identify the total amount and the size of one group. Use total ÷ group size for the number of groups. A quotient may include a partial group; if the question asks for full servings, use only the whole-number part.

WORKED EXAMPLE 1

A ribbon is 1/4 m long. Each piece is 1/4 m. How many piece-lengths are in the ribbon? Include any fractional piece.

1 piece-lengths

1/4 ÷ 1/4 = 1/4 × 4 = 1.

WORKED EXAMPLE 2

A jug contains 7/8 L. Each full bottle needs 4/3 L. How many full bottles can be filled, and how much liquid remains?

0 bottles; 7/8 L left

7/8 ÷ 4/3 = 7/8 × 3/4 = 21/32. Only whole bottles count; subtract the liquid used.

02 · PRACTICE

Your turn

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

  1. A ribbon is 1/4 m long. Each piece is 1/2 m. How many piece-lengths are in the ribbon? Include any fractional piece.

  2. A ribbon is 1/4 m long. Each piece is 1/4 m. How many piece-lengths are in the ribbon? Include any fractional piece.

  3. A ribbon is 1 m long. Each piece is 1/4 m. How many piece-lengths are in the ribbon? Include any fractional piece.

  4. A ribbon is 1/3 m long. Each piece is 3/5 m. How many piece-lengths are in the ribbon? Include any fractional piece.

  5. A ribbon is 7/8 m long. Each piece is 4/3 m. How many piece-lengths are in the ribbon? Include any fractional piece.

  6. A ribbon is 1 1/4 m long. Each piece is 4/3 m. How many piece-lengths are in the ribbon? Include any fractional piece.

  7. A jug contains 1 L. Each full bottle needs 1 L. How many full bottles can be filled, and how much liquid remains?

  8. A jug contains 1/3 L. Each full bottle needs 3/2 L. How many full bottles can be filled, and how much liquid remains?

  9. A jug contains 3/5 L. Each full bottle needs 1 L. How many full bottles can be filled, and how much liquid remains?

  10. A jug contains 2 1/2 L. Each full bottle needs 5/2 L. How many full bottles can be filled, and how much liquid remains?

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 1/2 piece-lengths

    1/4 ÷ 1/2 = 1/4 × 2 = 1/2.

  2. 1 piece-lengths

    1/4 ÷ 1/4 = 1/4 × 4 = 1.

  3. 4 piece-lengths

    1 ÷ 1/4 = 1 × 4 = 4.

  4. 5/9 piece-lengths

    1/3 ÷ 3/5 = 1/3 × 5/3 = 5/9.

  5. 21/32 piece-lengths

    7/8 ÷ 4/3 = 7/8 × 3/4 = 21/32.

  6. 15/16 piece-lengths

    5/4 ÷ 4/3 = 5/4 × 3/4 = 15/16.

  7. 1 bottles; 0 L left

    1 ÷ 1 = 1 × 1 = 1. Only whole bottles count; subtract the liquid used.

  8. 0 bottles; 1/3 L left

    1/3 ÷ 3/2 = 1/3 × 2/3 = 2/9. Only whole bottles count; subtract the liquid used.

  9. 0 bottles; 3/5 L left

    3/5 ÷ 1 = 3/5 × 1 = 3/5. Only whole bottles count; subtract the liquid used.

  10. 1 bottles; 0 L left

    5/2 ÷ 5/2 = 5/2 × 2/5 = 1. Only whole bottles count; subtract the liquid used.

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