Question

please solve this question​

Answer 1

Answer:

$- 2 \frac{1}{5} + \frac{ - 14}{21} \\ = - 2 \frac{1}{5} + \frac{ \cancel{ - 14} _{ \: \: - 2}}{ \cancel{ 21} _{ \: \: 3} } \\ = \frac{ - 11}{5} + \frac{ - 2}{3} \\ = \frac{ - 33 + ( - 10)}{15} \\ = \frac{ - 33 - 10}{15} \\ \boxed{ = \underline{\underline{ \frac{ - 43}{15}}}} \\ \\ \frac{3}{5} + \frac{21}{9} \\ = \frac{3}{5} + \frac{\cancel{21}_{\: \: 7}}{\cancel 9 _{\: \: 3}}\\ = \frac{3}{5} + \frac{7}{3} \\ = \frac{9 + 35}{15} \\ \boxed{= \underline{\underline{\frac{44}{15} }}} \\ \\ \frac{44}{15} - \frac{-43}{15} \\ = \frac{44 - (-43)}{15} \\ = \frac{44 + 43}{15} \\ = \frac{\cancel{87}_{\: \: 29}}{\cancel{15}_{\: \: 5}} \\ = \frac{29}{5} \\ \boxed{= \large \underline{\underline{5 \frac{4}{5}}}}$