Changing subject when the formula has fractions

Clear denominators before isolating the new subject.

Key formulas

Multiply through,then collect\text{Multiply through}, \text{then collect}

What this lesson covers

This lesson builds Secondary 2–3 skill in subject with fractions. Read the key formulas, study the worked example, then attempt the written practice and the four-question MCQ review.

Method

Write every step. Name the rule you use (subject with fractions) before substituting numbers. Keep units and signs visible until the final sentence.

Common mistakes

Students often rush the sign, use the wrong percentage base, or cancel terms instead of factors. Pause after each line and ask whether the step is reversible.

Exam habit

Underline the question verb (simplify, solve, factorise, find). Box the final answer and, where sensible, substitute back for a quick check.

Worked example

Worked example — subject with fractions

Problem. Apply the method for subject with fractions with the numbers 8 and 3.

Solution. Identify the rule for subject with fractions. Substitute 8 and 3 carefully with signs in brackets if needed. Complete each operation on a new line. State the final answer clearly and check by reversing one step.

Review quiz

1 / 4

Warm-up on subject with fractions: what is 8+2?

Practice questions

  1. Practice 1 on subject with fractions: compute with the value 10.
  2. Practice 2 on subject with fractions: change the numbers and repeat the same method.
  3. Practice 3 on subject with fractions: write one sentence explaining the key rule.
  4. Practice 4 on subject with fractions: invent a similar exam-style question and solve it.

Study notes

What is the main idea of subject with fractions?

Apply the stated formula or rule with clear steps, then check by reversing or substituting.

How should I revise this topic?

Cover the worked example, redo the practice without notes, then complete the MCQ set and log any wrong options.

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