Answer
$r_{1}$ = $\frac{3}{11}$
$r_{2}$ = $\frac{4}{15}$
Work Step by Step
100$r_{1}$ = 27.272727...
100$r_{1}$ - $r_{1}$ = 27.272727... - 0.272727... = 27
99$r_{1}$ = 27
$r_{1}$ = $\frac{27}{99}$ = $\frac{3}{11}$
10$r_{2}$ = 2.666...
10$r_{2}$ - $r_{2}$ = 2.666... - 0.2666... = 2.4000...
9$r_{2}$ = 2.4 =$\frac{24}{10}$
$r_{2}$ = $\frac{24}{10}$ / 9 = $\frac{24}{90}$ = $\frac{4}{15}$
