Which of the following fractions lies between $\frac{2}{3}$ and $\frac{3}{5}$ ?
(a)$\frac{2}{5}$
(b)$\frac{1}{3}$
(c)$\frac{1}{15}$
(d)$\frac{31}{50}$
Answer
Answer (as printed): D
Explanation
$\frac{2}{3}=0.666, \frac{3}{5}=0.6, \frac{2}{5}=0.4, \frac{1}{3}=0.333, \frac{1}{15}=0.066, \frac{31}{50}=0.62$. Clearly, 0.62 lies between 0.6 and 0.666 . So, $\frac{31}{50}$ lies between $\frac{2}{3}$ and $\frac{3}{5}$.
Explanation as extracted from the printed page; notation may be imperfect.