Ray's New Practical Arithmetic · Arts. 128–129 · Unit 10: Fractions

61. Fraction problems of every kind

Goal: Your child adds and subtracts fractional measures and solves mixed fraction problems.

⏱ About 35 minutes · 6 steps

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You'll need

  • The book
  • A slate, small whiteboard or scrap paper
  • A notebook and pencil

What's in the book

Adding and subtracting fractional compound numbers by changing the fractions to whole units first, then 22 promiscuous (mixed) examples with fractions. Answers are printed for most.

The lesson, step by step

  1. Warm-up

    Mental: 1/3 of an hour? 1/4 of a day? 2/3 of a yard in inches?

  2. The rule

    Read:

    To add and subtract fractional compound numbers, find the value of the fractions in integers

    and then proceed as in Addition and Subtraction of Compound Numbers.

    Example: 1/2 day − 1/3 hr. = 12 hr. − 20 min. = 11 hr. 40 min.

  3. Guided practice

    Do problems 1 and 2 of Art. 128 together.

  4. Puzzles

    Read a few of the mixed examples aloud and solve one together:

    What part of 368 is 170?

    (170/368 = 85/184.)

    Then try one of the "What number is that ..." problems by drawing a bar diagram.

  5. Independent practice

    Your child does about eight of the promiscuous examples.

  6. Check and wrap-up

    Answers are printed. Your child makes up a fraction puzzle for you.

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