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How Many Pieces?

Idea 12of 22Builds onSame pieces in every whole

12 thirds is still 4 wholes

4 ÷ 1/3 = 12. Did the 4 wholes grow?

Today you'll discover

  • what the 12 in 4 ÷ 1/3 counts
  • why the answer is bigger than 4
  • what stays the same

Think first4 ÷ 1/3 = 12

4 ÷ 1/3 = 12. Did the 4 wholes grow into 12 wholes?

Decide first, then press Next. Count the bars, then count the pieces.

Four bars, each one whole, cut into thirds numbered 1 to 12, with 4 ÷ 1/3 = 12 underneath. A line adds: still 4 wholes, the 12 counts thirds, not wholes. The last step shows 2 ÷ 1/5 = 10.

See the whole ideathe big idea and the key word, in one place

The big idea

4 ÷ 1/3 = 12 counts thirds. The amount is still 4 wholes; only the unit changed.

Like money$4 is 16 quarters. You have more coins, but not more money: you counted the same amount in a smaller unit.

Key word

unit
the size you count in: wholes, thirds, quarters, metres or cups

Ready to use it?

  • Say what the answer to a division by a unit fraction counts.
Practise this idea