Question

using appropriate properties find: 1) -2/3×3/5+5/2 -3/5×1/6​

Answer 1

Answer:

$\frac{ - 2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} \\ = (\frac{ - 2}{3} \times \frac{3}{5} ) + \frac{5}{2} - ( \frac{3}{5} \times \frac{1}{6}) \\ = (\frac{ - 2}{ _{1 \: \: \: } \cancel 3} \times \frac{ \cancel 3 _{ \: \: \: 1}}{5} ) + \frac{5}{2} - ( \frac{ _{1 \: \: \: } \cancel 3}{5} \times \frac{1}{ \cancel 6 _{ \: \: \: 2} }) \\ = \frac{ - 2}{5} + \frac{5}{2} - \frac{1}{10} \\ = \frac{ - 4 + 25 - 1}{10} \\ = \frac{2 \cancel 0}{1 \cancel 0} \\ \boxed{ = \: \: \underline{ \underline{ \large 2}}}$