Introduction
This PSLE Maths question tests students on converting percentages to fractions, especially percentages less than 1%, which can be confusing if the decimal place is not handled carefully. Students often mix up where to place the decimal before converting to a fraction. In this solution, we follow the exact working shown by our tutor to demonstrate the clean and systematic way to convert 0.3% into a simplified fraction.
The Question
Express 0.3% as a fraction.
Using KaTeX:
\(0.3\% = \tfrac{0.3}{100}\)
Step-by-Step Explanation
Step 1: Convert percentage to fraction
Any percentage can be written as the number divided by 100.
\(0.3\% = \tfrac{0.3}{100}\)
Step 2: Remove decimals by multiplying numerator & denominator by 10
\(\tfrac{0.3}{100} \times \tfrac{10}{10} = \tfrac{3}{1000}\)
Step 3: Simplify
\(\tfrac{3}{1000}\) is already in simplest form.
Final Answer
✅ Final Answer: \( \boxed{\tfrac{3}{1000}} \)
Key Concepts
| Concept | Explanation |
|---|---|
| Converting % to fraction | Write the number over 100 |
| Handling decimals | Multiply numerator & denominator to remove decimals |
| Simplification | Reduce the fraction if possible |
Tips for Students
- Always divide by 100 when converting from % to fraction.
- If the numerator has a decimal, multiply both numerator and denominator equally to clear it.
- Percentages below 1% are tiny — expect denominators to become large.
For Parents
This topic builds foundational numeracy for percentage, ratio, and rate problems. Strengthening fraction-percentage conversion helps students avoid careless working errors in Booklet B.