Discussion
If a fraction’s denominator is decreased by 80% and numerator is increased by 300%, the fraction becomes 2/9. What is the fraction?
Answer: C
Let the fraction be \( \tfrac{n}{d} \). Decreasing the denominator by 80% leaves \( 0.2d \); increasing the numerator by 300% makes it \( 4n \).
\[ \frac{4n}{0.2d} = \frac{20n}{d} = \frac{2}{9} \]
\[ \frac{n}{d} = \frac{2}{9 \times 20} = \frac{2}{180} = \frac{1}{90} \]
An increase of 300% makes a quantity four times as large, not three - the step that decides the answer.
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