Question

Using appropriate properties find Question (1) -2/3 x 3/5 + 5/2 -3/5 x 1/6

Best answer will get brainliest answer​

Answer 1

$\huge {\red{ \boxed{\blue{ \boxed{ \green{Answer}}}}}} \\ \\(- \frac{ 2}{3}) \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} \\ \\ {\blue{By\:cancellation\:of \:factors\:it\:becomes......)}}\\ \\( - 2) \times \frac{1}{5} + \frac{5}{2} - \frac{1}{5} \times \frac{1}{2} \\ \\ = (- \frac{2}{5}) + \frac{5}{2} - \frac{1}{5} \times \frac{1}{2} \\ \\ = (- \frac{2}{5}) + \frac{5}{2} - \frac{1 \times 1}{5 \times 2} \\ \\ = (- \frac{2}{5}) + \frac{5}{2} - \frac{1}{10} \\ \\ = \frac{(- 2 \times 2) + (5 \times 5)}{(5 \times 2)} - \frac{1}{10} \\ \\ = \frac{ (- 4 + 25)}{10} - \frac{1}{10} \\ \\ = \frac{21}{10} - \frac{1}{10} \\ \\ = \frac{(21 \times 10) -( 10 \times 1)}{(10 \times 10)} \\ \\ = \frac{(210 - 10)}{100} \\ \\ = \frac{200}{100} \\ \\ = {\red{\boxed{2}}}$