ConceptsAll the ideas

How Many Pieces?

Idea 8of 22Builds on4/3 is one whole and one third

Sometimes the pieces make whole numbers

What is 6 × 1/3?

Today you'll discover

  • when the pieces fill wholes exactly
  • how 6/3 can be 2
  • how to tell before you draw

Think firstSix pieces, each one third

What is 6 × 1/3?

Decide first, then press Next. See whether the last whole is full.

Six pieces of one third slide together and are counted 1/3 to 6/3. They fill two bars exactly, each marked = 1 whole. The sentence 6 × 1/3 = 6/3 = 2 appears underneath. The last step shows eight quarters.

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

The big idea

6 × 1/3 = 6/3, and 6 thirds fill exactly 2 wholes, so 6 × 1/3 = 2.

Whole-number answers3 × 1/3 = 1, 6 × 1/3 = 2, 9 × 1/3 = 3. When the count is a multiple of the bottom number, the answer is a whole number.

Key word

whole number
a counting number with no fraction part: 0, 1, 2, 3 …

Ready to use it?

  • Find products of unit fractions that are whole numbers.
Practise this idea