Fractions, decimals and percentages

Fractions, decimals and percentages require students to convert between equivalent forms, compare quantities, and choose the most efficient representation for ratio, proportion, percentage change and multi-step calculation problems. The topic rewards clear place-value reasoning, exact simplification, sensible denominator choices and checking that the converted form still represents the same quantity. Within Fractions, decimals and percentages, revision should focus on recognising the mathematical structure before choosing a method, because similar-looking questions can test different skills. A strong answer states the representation being used, shows the key calculation or reasoning step, and checks that the final answer matches the wording, units and accuracy of the question. Common mistakes usually come from applying a familiar procedure without checking the condition in the question, so each step should be linked back to the information given.