ConceptsAll the ideas

How Many Pieces?

Idea 7of 22Builds onThe whole number becomes the numerator

4/3 is one whole and one third

How much is 4/3, in wholes and pieces?

Today you'll discover

  • when a product is more than one whole
  • how to write 4/3 another way
  • how to find the wholes inside a fraction

Think first4 × 1/3 = 4/3, laid end to end

4/3 is how many wholes, and how much more?

Decide first, then press Next. Find each full whole, then what is left.

Four pieces of one third, counted 1/3 to 4/3, fill one bar marked = 1 whole and start a dashed second bar marked 1/3 of one. Then the sentence 4 × 1/3 = 4/3 = 1 1/3. The last step shows seven halves.

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

The big idea

4/3 is more than one whole: 3 thirds make 1 whole, so 4/3 = 1 1/3.

Compare them4/3 is an improper fraction: the top is bigger than the bottom. 1 1/3 is a mixed number: a whole number and a fraction. Same amount.

More of them5 × 1/4 = 5/4 = 1 1/4. 7 × 1/3 = 7/3 = 2 1/3. 7 × 1/2 = 7/2 = 3 1/2.

Key words

improper fraction
a fraction whose top number is the same as or bigger than its bottom number, like 4/3
mixed number
a whole number and a fraction together, like 1 1/3

Ready to use it?

  • Write a product like 5/4 as a mixed number.
Practise this idea