9. Выполните действия: a) \(\frac{22}{43} + \frac{20}{43}\) б) \(\frac{37}{53} - \frac{22}{53}\) в) \(\frac{38}{67} + \frac{11}{67} + \frac{11}{67}\) г) \(\frac{10}{41} + \frac{27}{41} - \frac{21}{41}\) д) \(\frac{51}{74} - \frac{13}{74} + \frac{25}{74}\)

Решение:

а)

\[ \frac{22}{43} + \frac{20}{43} = \frac{22 + 20}{43} = \frac{42}{43} \]

б)

\[ \frac{37}{53} - \frac{22}{53} = \frac{37 - 22}{53} = \frac{15}{53} \]

в)

\[ \frac{38}{67} + \frac{11}{67} + \frac{11}{67} = \frac{38 + 11 + 11}{67} = \frac{60}{67} \]

г)

\[ \frac{10}{41} + \frac{27}{41} - \frac{21}{41} = \frac{10 + 27 - 21}{41} = \frac{37 - 21}{41} = \frac{16}{41} \]

д)

\[ \frac{51}{74} - \frac{13}{74} + \frac{25}{74} = \frac{51 - 13 + 25}{74} = \frac{38 + 25}{74} = \frac{63}{74} \]

Ответ: а) \(\frac{42}{43}\), б) \(\frac{15}{53}\), в) \(\frac{60}{67}\), г) \(\frac{16}{41}\), д) \(\frac{63}{74}\).