Solve the following fraction addition and subtraction problems. Show your work and provide the final answer.

Решение:

1. \( \frac{8}{9} + 1\frac{5}{9} \)

\( \frac{8}{9} + \frac{14}{9} = \frac{8+14}{9} = \frac{22}{9} = 2\frac{4}{9} \)

2. \( \frac{2}{37} + \frac{34}{37} \)

\( \frac{2+34}{37} = \frac{36}{37} \)

3. \( 8\frac{8}{9} + 8\frac{7}{9} \)

\( \frac{80}{9} + \frac{79}{9} = \frac{80+79}{9} = \frac{159}{9} = 17\frac{6}{9} = 17\frac{2}{3} \)

4. \( 4\frac{7}{71} - 9 \)

\( \frac{287}{71} - \frac{639}{71} = \frac{287-639}{71} = \frac{-352}{71} = -4\frac{68}{71} \)

Ответ: \( 2\frac{4}{9} \); \( \frac{36}{37} \); \( 17\frac{2}{3} \); \( -4\frac{68}{71} \).