Question

(3/4).(1/5)+(2/3):(3/2)-(2/5)/(4/6-1/3)=

Answer 1

$\frac{( \frac{3}{4}). (\frac{1}{5})+( \frac{2}{3} )}{( \frac{3}{2}- \frac{\frac{2}{5}}{ \frac{4}{6}- \frac{1}{3}})}= \frac{\frac{3}{20}+ \frac{2}{3}}{[ \frac{3}{2}- \frac{2}{5}.( \frac{6}{4} - \frac{3}{1})]}= \frac{ \frac{3}{20}+ \frac{2}{3} }{ \frac{3}{2}- \frac{12}{20}+ \frac{6}{5}} =( \frac{3}{20}+ \frac{2}{3}).( \frac{2}{3} - \frac{20}{12}+ \frac{5}{6})=$
$\frac{6}{60}- \frac{60}{240}+ \frac{15}{120} + \frac{4}{9} - \frac{40}{36} + \frac{10}{18}= \frac{1}{10} - \frac{1}{4} + \frac{1}{8} + \frac{4}{9} - \frac{10}{9} +\frac{5}{9} \\ \\ \frac{36-90+45+160-400+200}{360} = -\frac{49}{360}$