Question

simplify the following​

Answer 1

Answer:

$(i) \: \: \: \frac{ - 4}{9} + 2 \frac{12}{13} \\ \: \: \: = \frac{ - 4}{9} + \frac{38}{13} \\ \: \: \: = \frac{ - 52 + 342}{117} \\ \: \: \: = \frac{290}{117} \\ \: \: \: \boxed{ = \underline{ \underline{ 2 \frac{56}{117} }}} \\ \\ (ii) \: \: \: \frac{11}{ - 7} + 8 \frac{2}{3} \\ \: \: \: = \frac{ - 11}{7} + \frac{26}{3} \\ \: \: \: = \frac{ - 33 + 182}{21} \\ \: \: \: = \frac{149}{21} \\ \: \: \: \boxed{= \underline{ \underline{7 \frac{2}{21} }}}$