Converting fractions and decimals

2026-11-07Numbers & Estimation Mr Chan

Move fluently between fractions, terminating decimals and recurring decimals.

Key formulas

a/b \text{by division}

0.\dot{d} recurring

What this lesson covers

This lesson builds Secondary 2–3 skill in fraction-decimal conversion. 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 (fraction-decimal conversion) 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 — fraction-decimal conversion

Problem. Apply the method for fraction-decimal conversion with the numbers 9 and 4.

Solution. Identify the rule for fraction-decimal conversion. Substitute 9 and 4 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 fraction-decimal conversion: what is 8+2?

Practice questions

Practice 1 on fraction-decimal conversion: compute with the value 15.
Practice 2 on fraction-decimal conversion: change the numbers and repeat the same method.
Practice 3 on fraction-decimal conversion: write one sentence explaining the key rule.
Practice 4 on fraction-decimal conversion: invent a similar exam-style question and solve it.

Study notes

What is the main idea of fraction-decimal conversion?

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.