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Grade 5 · Maths · Lessons
Sharing a bit, fitting it in, and the story
🍕pizza✂️cut🔢pieces➗divide
Share a bit.
The big ideaCut every part the same way, then count the pieces.

How it works

Cut every part the same way, then count the pieces.

A unit fraction shared among a number makes a smaller piece: 1/4 ÷ 3 = 1/12.

A whole divided into unit fractions makes many pieces: 4 ÷ 1/4 = 16.

1/12 is shaded
1/4 cut into 3 parts: each is 1/12 of the whole.

Example 1: Share a fraction

  1. 1/4 ÷ 3 = ?
  2. 1/4 shared among 3 is a quarter cut into 3 pieces.
  3. Each piece is 1/12.
  4. So the answer is 1/12.

Example 2: How many fit?

  1. Mia has 4 pizzas. Each slice is one fourth of a pizza. How many slices can Mia cut? Type it.
  2. Each slice is 1/4 of a pizza. There are 4 pizzas.
  3. Each pizza has 4 slices, so 4 × 4 = 16.
  4. So the answer is 16.

Example 3: Another share

  1. 1/3 ÷ 3 = ?
  2. 1/3 shared among 3.
  3. Each piece is 1/9.
  4. So the answer is 1/9.

Words to know

unit fraction
A fraction with 1 on top.
share
To divide into equal parts.

Watch out

Try it

  1. ? × 1/6 = 3
  2. Mia has 4 pizzas. Each slice is one sixth of a pizza. How many slices can Mia cut? Type it.
  3. 4 ÷ 1/4 = ?
Answers: 1. 18 · 2. 24 · 3. 16
For grown-upsCut a paper quarter into 3 equal parts and see what fraction of the whole each is.
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