A2. In the following sequences, the same five numbers appear each time.

Which of the five sequences is correctly ordered?

(A) $0,16<\frac{1}{7}<\frac{13}{97}<\frac{17}{101}<\frac{5}{33}$

(B) $\frac{17}{101}<0,16<\frac{1}{7}<\frac{5}{33}<\frac{13}{97}$

(C) $\frac{1}{7}<0,16<\frac{5}{33}<\frac{17}{101}<\frac{13}{97}$

(D) $\frac{5}{33}<\frac{1}{7}<\frac{13}{97}<\frac{17}{101}<0,16$

(E) $\frac{13}{97}<\frac{1}{7}<\frac{5}{33}<0,16<\frac{17}{101}$
A2. You don't need to make the denominators the same to compare the fractions. You can choose denominators that are all close to 100: $0.16=\frac{16}{100}, \frac{1}{7}=\frac{14}{98}, \frac{5}{33}=\frac{15}{99}$. Since for $k0$, we find $\frac{13}{97}<\frac{14}{98}<\frac{15}{99}<\frac{16}{100}<\frac{17}{101}$.