Question

find using appropriate properties -2/5*3/5+5/2-3/5*1/6​

Answer 1

Step-by-step explanation:

$\frac{ - 2}{5} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} \\ = (\frac{ - 2}{5} \times \frac{3}{5}) + \frac{5}{2} - (\frac{3}{5} \times \frac{1}{6}) \\ = (\frac{ - 6}{25}) + \frac{5}{2} - (\frac{_{1 \: } \cancel{ 3}}{5} \times \frac{1}{ \cancel 6_{ \: 2} }) \\ = ( \frac{ - 6}{25} ) + \frac{5}{2} - ( \frac{1}{5} \times \frac{1}{2} ) \\ = \frac{ - 6}{25} + \frac{5}{2} - \frac{1}{10} \\ = \frac{ - 12 +125 - 5 }{50} \\ = \frac{ \cancel{ 108}_{ \: \: 54} }{ \cancel{50}_{ \: \: 25}} \\ = \frac{54}{25} \\ \boxed{ = \underline{ \underline{ \bf 2 \frac{4}{25} }}}$