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Ratio
Lesson 49 of 75
Challenge

Share in a ratio

Objective. Divide an amount in a stated ratio.

  1. 1. Learn
  2. 2. Worked example
  3. 3. Practice
  4. 4. Feedback
  5. 5. Continue

Learn: the key idea

Share in a ratio is built on a small number of dependable facts. Represent, simplify and divide in a given ratio. Represent the information first, choose a method deliberately, show each step and use an inverse operation or estimate to check that the result fits the question.

Worked example

Share £90 in the ratio 2:3. Give the smaller share.

£90.00
Money illustration for £90
  1. 1Identify the mathematical information and what must be found.
  2. 2Represent it with a number line, diagram, table or expression where helpful.
  3. 3Apply the relevant fact carefully and keep each line clear.
  4. 4Check the result against the conditions in the question: £36.

Answer: £36

Concept mastery

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Practice

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Common mistake. A common mistake in share in a ratio is to apply a remembered procedure before reading the signs, units or order carefully. Write the structure first, then calculate and check.

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