Paper 22 Q16IGCSE 0580 May/June 2023

Question

16 Write 0.621 as a fraction in its simplest form. You must show all your working.

This question tests your ability to convert a recurring decimal to a fraction in its simplest form. This is a key skill for working with exact values in mathematics.

Step-by-Step Solution

Key Takeaway

For recurring decimals, multiply by powers of 10 to align the repeating parts, then subtract to eliminate the recurring portion.

Common Mistakes

Treating this as 0.621621621... instead of 0.6212121... - always check which digits actually repeat
Forgetting to simplify the final fraction - you must always express fractions in their simplest form

Exam Tip

Always double-check your final fraction by converting it back to a decimal to verify it matches the original.

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