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Where fractions live

Idea 12of 24Builds onFrom improper fraction to mixed number

From mixed number back to improper fraction

How many thirds are in 2 1/3?

Today you'll discover

  • how many thirds fill each whole
  • how to add the extra third
  • a quick way to rename

Think first2 1/3 cups of flour, with a 1/3-cup scoop

How many 1/3-cup scoops make 2 1/3 cups?

Decide first, then press Next. Count the thirds in every whole cup.

Three cup-strips side by side, cut into thirds, seven thirds shaded. Brackets mark the two full cups; the thirds are counted; then 7/3 = 2 1/3 is written. The last step shows a ribbon of one metre and five eighths, in eighths.

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

The big idea

To rename a mixed number, count every part: the parts in the wholes plus the extra ones.

In the kitchenA recipe needs 1 3/4 cups and you only have a 1/4-cup measure: 4 + 3 = 7 scoops.

Easy to get wrong2 1/3 is not 5/3. The 2 is two whole cups, and each whole holds 3 thirds.

Key word

rename
write the same amount another way, like 2 1/3 as 7/3

Ready to use it?

  • Write a mixed number as an improper fraction.
  • Count the parts in a mixed number.
Practise this idea