Step-by-step explanation: [tex]( \frac{3}{5} + \frac{21}{9} ) – ( – 2 \frac{1}{5} + \frac{ – 14}{21} ) \\ = ( \frac{3}{5} + \frac{ \cancel{ 21}_{ \: \: 7}}{ \cancel 9_{ \: \: 3} } ) – ( \frac{ – 11}{5} + \frac{ \cancel{ – 14} _{ \: \: – 2}}{ \cancel{ 21} _{ \: \: 3} } ) \\ = ( \frac{3}{5} + \frac{7}{3} ) – ( \frac{ – 11}{5} + \frac{ – 2}{3} ) \\ = ( \frac{9 + 35}{15} ) – ( \frac{ – 33 + ( – 10)}{15} ) \\ = \frac{44}{15} – ( \frac{ – 33 – 10}{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{ = \underline{ \underline{\large 5 \frac{4}{5} }}}[/tex] Reply
Step-by-step explanation:
[tex]( \frac{3}{5} + \frac{21}{9} ) – ( – 2 \frac{1}{5} + \frac{ – 14}{21} ) \\ = ( \frac{3}{5} + \frac{ \cancel{ 21}_{ \: \: 7}}{ \cancel 9_{ \: \: 3} } ) – ( \frac{ – 11}{5} + \frac{ \cancel{ – 14} _{ \: \: – 2}}{ \cancel{ 21} _{ \: \: 3} } ) \\ = ( \frac{3}{5} + \frac{7}{3} ) – ( \frac{ – 11}{5} + \frac{ – 2}{3} ) \\ = ( \frac{9 + 35}{15} ) – ( \frac{ – 33 + ( – 10)}{15} ) \\ = \frac{44}{15} – ( \frac{ – 33 – 10}{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{ = \underline{ \underline{\large 5 \frac{4}{5} }}}[/tex]