Which of the following fractions is nearest to $\frac{2}{5}$ ?
(a)$\frac{4}{5}$
(b)$\frac{21}{50}$
(c)$\frac{20001}{50000}$
(d)$\frac{200001}{500000}$
Answer
Answer (as printed): D
Explanation
$\frac{2}{5}=0.4, \frac{4}{5}=0.8, \frac{21}{50}=0.42, \frac{20001}{50000}=0.40002$, $$\frac{200001}{500000}=0.400002 .$$ Clearly, 0.400002 is nearest to 0.4. So, $\frac{200001}{500000}$ is nearest to $\frac{2}{5}$.
Explanation as extracted from the printed page; notation may be imperfect.