\[\boxed{\text{1274.\ }\text{еуроки}\text{-}\text{ответы}\text{\ }\text{на}\text{\ }\text{пятёрку}}\]
\[\frac{5}{14} < \frac{a}{21} < \frac{5}{12}\]
\[\frac{12 \cdot 5}{168} < \frac{8 \cdot a}{168} < \frac{14 \cdot 5}{168}\]
\[\frac{60}{168} < \frac{8a}{168} < \frac{70}{168}\]
\[60 < 8a < 70\]
\[Значит,\ a = 8.\]
\[Ответ:\frac{8}{21}.\]