Dividing fractions

The question

÷

each piece is

÷ =
× =
  1. ÷ is asking a question: how many s fit inside ?
  2. Lay against it and see how many times it goes.
  3. 2 whole pieces and of another fit — so ÷ = .
  4. Now multiply by — turned over. Same answer.
  5. So dividing by a fraction is the same as multiplying by it turned over. ÷ = .

How it works.

  1. 01

    4/5 ÷ 3/8 is asking a question: how many 3/8s fit inside 4/5?

  2. 02

    Lay 3/8 against it and see how many times it goes.

  3. 03

    2 whole pieces and 2/15 of another fit — so 4/5 ÷ 3/8 = 32/15.

  4. 04

    Now multiply by 8/3 — 3/8 turned over. Same answer.

  5. 05

    So dividing by a fraction is the same as multiplying by it turned over. 4/5 ÷ 3/8 = 32/15.