Answer:\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}=-\frac{1}{2}52×7−3−141−73×53=−21Step-by-step explanation:Given : EXPRESSION \frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}52×7−3−141−73×53To FIND : The expression using appropriate properties ?Solution :\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}52×7−3−141−73×53Applying commutative property, a+b=b+aa+b=b+a=\frac{2}{5}\times \frac{-3}{7}-\frac{3}{7}\times\frac{3}{5} -\frac{1}{14}=52×7−3−73×53−141Applying distributive property, ab+ac=a(b+c)ab+ac=a(b+c)=\frac{-3}{7}(\frac{2}{5}+\frac{3}{5})-\frac{1}{14}=7−3(52+53)−141=\frac{-3}{7}(\frac{5}{5})-\frac{1}{14}=7−3(55)−141=-\frac{3}{7}-\frac{1}{14}=−73−141Taking LCD and SOLVE,=\frac{-6-1}{14}=14−6−1=\frac{-7}{14}=14−7=\frac{-1}{2}=2−1Therefore, \frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}=-\frac{1}{2}52×7−3−141−73×53=−21Step-by-step explanation:HOPE YOU GOT IT THANKS