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Grade 5 · Maths · Lessons
A part of a part
🍕pizza➗fractions✖️of🔢whole number
A part of a part.
The big ideaA part of a part: tops times tops, bottoms times bottoms.

How it works

A fraction of a number: divide by the bottom, then multiply by the top.

1/4 of 8: 8 ÷ 4 = 2. 5/6 of 12: 12 ÷ 6 = 2, then 5 × 2 = 10.

Part of a part: tops times tops, bottoms times bottoms.

Divide by the bottom: 12 ÷ 6 = 2Multiply by the top: 5 × 2 = 10
5/6 of 12.

Example 1: A quarter of 8

  1. 1/4 of 8 = ?
  2. Share 8 into 4 equal parts.
  3. One part is 2.
  4. So the answer is 2.

Example 2: Five sixths of 12

  1. 5/6 of 12 = ?
  2. Share 12 into 6 parts of 2.
  3. Take 5 of them: 5 × 2 = 10.
  4. So the answer is 10.

Example 3: A sixth of 24

  1. 1/6 of 24 = ?
  2. Share 24 into 6 equal parts.
  3. One part is 4.
  4. So the answer is 4.

Words to know

of
In fractions, it means times.
numerator
The top number.

Watch out

Try it

  1. 1/2 of 4/5 = ?
  2. 1/3 of 15 = ?
  3. 1/6 of 12 = ?
Answers: 1. 2/5 · 2. 5 · 3. 2
For grown-upsTake 3/4 of 12 snacks together and count them out.
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