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Use knowledge of multiplying a whole number by a unit fraction to solve problems

Lesson details

Learning outcome

I can use knowledge of multiplying a whole number by a unit fraction to solve problems.

Key learning points

  1. Finding a fraction of a number is the same as multiplying the number by the fraction.
  2. Multiplying a number by a unit fraction is equivalent to dividing the number by the denominator of the fraction.
  3. The whole has been divided into__ equal parts describes dividing by __

Keywords

  • Equation - An equation is used to show that one number, calculation or expression is equal to another.

  • Strategy - A strategy is a plan or method to achieve a specific goal.

Common misconception

Pupils struggle to unpick the maths required of them from the worded problems.

Encourage pupils to draw a bar model for each problem. This will help them to identify what information is known, for example, whether the problem indicates if the whole, the value of a part, or the size of a part is known.

Teacher tip

Ensure pupils are given time to explore calculations provided and encourage them to solve the problems mentally where they can. Avoid pupils jumping straight into a written method where this would not necessarily be the most appropriate method to solve the calculation.

Licence

This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
except where otherwise stated. See Oak's terms & conditions
(Collection 2).

Lesson video

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Prior knowledge starter quiz

6 Questions

Q1.
Tick the word that can replace ‘×’ in a calculation.

and
altogether
Correct answer: of
by

Q2.
What is the value of each part of the bar model?

An image in a quiz
Correct Answer: 12

Q3.
Tick the equations that match this bar model.

An image in a quiz
30 × 5 = 6
Correct answer: 5 × 6 = 30
Correct answer: 30 ÷ 5 = 6
6 ÷ 30 = 5
Correct answer: 6 × 5 = 30

Q4.
Calculate: 210 ÷ 3 =

An image in a quiz
Correct Answer: 70

Q5.
Calculate: 204 ÷ 3 =

An image in a quiz
Correct Answer: 68

Q6.
Solve the equation: 32 × $$ \frac{1}{8} $$ =

Correct Answer: 4

6 Questions

Q1.
Solve the equation: 24 × $$ \frac{1}{2} $$ =

Correct Answer: 12

Q2.
Calculate: 540 ÷ 6 =

An image in a quiz
Correct Answer: 90

Q3.
Solve the equation: 540 × $$ \frac{1}{6} $$ =

Correct Answer: 90

Q4.
Solve the equation: 552 × $$ \frac{1}{6} $$ =

Correct Answer: 92

Q5.
Tick the equations that represent the problem: The school raised £1,408 at the school fair. One-quarter of the money was made from a cake raffle. How much money was made on the cake raffle?

1,408 × 4 =
4 × 1,408 =
Correct answer: 1,408 × $$ \frac{1}{4} $$ =
Correct answer: 1,408 ÷ 4 =

Q6.
The school raised £1,408 at the school fair. One-quarter of the money was made from a cake raffle. How much money was made on the cake raffle? £

Correct Answer: 352, 352.00, £352

To help you plan your 5 maths lesson on: Use knowledge of multiplying a whole number by a unit fraction to solve problems, download all teaching resources for free and adapt to suit your pupils' needs...