Which of the following numbers does not lie between $\frac{4}{5}$ and $\frac{7}{13}$ ?
(a)$\frac{1}{2}$
(b)$\frac{2}{3}$
(c)$\frac{3}{4}$
(d)$\frac{5}{7}$
Answer
Answer (as printed): A
Explanation
$\frac{4}{5}=0.8, \frac{7}{13}=0.53, \frac{1}{2}=0.5, \frac{2}{3}=0.66, \frac{3}{4}=0.75, \frac{5}{7}=0.714$. Clearly, 0.5 does not lie between 0.53 and 0.8 . $$\therefore \quad \frac{1}{2} \text { does not lie between } \frac{4}{5} \text { and } \frac{7}{13} .$$
Explanation as extracted from the printed page; notation may be imperfect.