What is the difference between the biggest and the smallest fraction among $\frac{2}{3}, \frac{3}{4}, \frac{4}{5}$ and $\frac{5}{6}$ ?
(a)$\frac{1}{6}$
(b)$\frac{1}{12}$
(c)$\frac{1}{20}$
(d)$\frac{1}{30}$
Answer
Answer (as printed): A
Explanation
Converting each of the given fractions into decimal form, we get: $$\frac{2}{3}=0.66, \frac{3}{4}=0.75, \frac{4}{5}=0.8, \frac{5}{6}=0.833 .$$ Since $0.833>0.8>0.75>0.66$, so $\frac{5}{6}>\frac{4}{5}>\frac{3}{4}>\frac{2}{3}$. $$\therefore \quad \text { Required difference }=\left(\frac{5}{6}-\frac{2}{3}\right)=\frac{1}{6} .$$
Explanation as extracted from the printed page; notation may be imperfect.