If the fractions $\frac{2}{5}, \frac{3}{8}, \frac{4}{9}, \frac{5}{13}$ and $\frac{6}{11}$ are arranged in ascending order of their values, which one will be the fourth?
(a)$\frac{2}{5}$
(b)$\frac{3}{8}$
(c)$\frac{4}{9}$
(d)$\frac{5}{13}$
(e)None of these
Answer
Answer (as printed): C
Explanation
Converting each of the given fractions into decimal form, we get: $$\frac{2}{5}=0.4, \frac{3}{8}=0.375, \frac{4}{9}=0.444, \frac{5}{13}=0.384, \frac{6}{11}=0.545$$ Clearly, $0.375<0.384<0.4<0.444<0.545$. $$\text { So, } \frac{3}{8}<\frac{5}{13}<\frac{2}{5}<\frac{4}{9}<\frac{6}{11} \text {. }$$
Explanation as extracted from the printed page; notation may be imperfect.