ConceptsAll the ideas

Multiplication & Division

Idea 23of 24Builds onRound up, or leave the remainder out

Share the remainder too

What if the leftover can be cut into smaller parts?

Today you'll discover

  • when to share the remainder
  • how it becomes a fraction
  • how it becomes a decimal

Think first125 cm of ribbon, 10 equal pieces

125 cm of ribbon is cut into 10 equal pieces. How long is each piece?

Decide first, then press Next. Ask whether the leftover can be cut.

A long bar for 125 cm of ribbon. It fills with 10 equal pieces marked 12, then a short dashed piece marked 5 left, with 125 ÷ 10 = 12 R5. Then the short piece is cut into 10 thin bits, and the answer reads 12 5/10 cm, which is 12.5 cm. The last step shows $150 shared by 12.

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

The big idea

When the leftover can be cut, share it too: as a fraction or a decimal.

One answer, three ways

125 ÷ 10, written three ways.

  1. remainder12 R5
  2. fraction12 5/10
  3. decimal12.5

Easy to get wrongR6 in $150 ÷ 12 is not 6 cents. It is $6 shared by 12 friends: 50 cents each.

Key word

remainder as a fraction
the leftover over the divisor: dividing by 10 with R5 gives 5/10 more

Ready to use it?

  • Write a remainder as a fraction.
  • Share a money remainder as a decimal.
Practise this idea