Fractions, decimals and percentages are the same value wearing different outfits. This page trains students to convert, compare, calculate and survive percentage word problems without guessing.
Students often treat fractions, decimals and percentages as separate topics. That is the trap.
They are different forms of the same value. A student who cannot move between them will struggle with discounts, profit/loss, percentage change, reverse percentage, probability, ratio, statistics and graph interpretation.
Goal: students should know which form to use, how to convert safely, and how to recognise normal percentage, percentage change and reverse percentage questions.
Do this before reading the notes. Calculator allowed only after trying mentally first.
| No. | Question | Skill tested |
|---|---|---|
| 1 | Write 3/5 as a decimal |
Fraction → decimal |
| 2 | Write 0.72 as a percentage |
Decimal → percentage |
| 3 | Write 45% as a fraction in simplest form |
Percentage → fraction |
| 4 | Write 0.375 as a fraction |
Decimal → fraction |
| 5 | Write 7/20 as a percentage |
Fraction → percentage |
| 6 | Find 15% of 80 |
Percentage of amount |
| 7 | Increase 120 by 8% |
Percentage increase |
| 8 | Decrease 250 by 12% |
Percentage decrease |
| 9 | A price rises from RM40 to RM50. Find the percentage increase | Percentage change |
| 10 | A price after 20% discount is RM64. Find the original price | Reverse percentage |
| Score | Meaning | Action |
|---|---|---|
| 0–4 | FDP foundation is unsafe | Start from the Conversion Map and Common FDP Bank |
| 5–7 | Basic conversion is okay, but percentage problem-solving is weak | Study percentage multiplier + reverse percentage |
| 8–9 | Mostly safe | Do Paper 2 and Paper 4 drills |
| 10 | Strong | Move to mixed exam-style percentage questions |
| Question clue | Likely skill |
|---|---|
| “Write as a fraction/decimal/percentage” | Conversion |
| “Which is larger?” | Convert to same form first |
| “Find 15% of…” | Percentage of amount |
| “Increase by…” | Percentage increase multiplier |
| “Decrease by…” or “discount” | Percentage decrease multiplier |
| “From 40 to 50” | Percentage change |
| “After discount/increase, find original” | Reverse percentage |
| “Increases by 10% each year” | Repeated percentage change |
| “Profit/loss” | Percentage change using original cost |
| From | To | Method |
|---|---|---|
| Fraction | Decimal | Divide numerator by denominator |
| Decimal | Percentage | Multiply by 100 |
| Percentage | Decimal | Divide by 100 |
| Percentage | Fraction | Put over 100, then simplify |
| Decimal | Fraction | Use place value, then simplify |
| Fraction | Percentage | Divide, then multiply by 100 OR make denominator 100 |