Question

using appropriate properties find 2/5×(-3/7)-1/6×3/2+1/14×2/5​

Answer 1

The value of the expression is $-\frac{11}{28}$.

Step-by-step explanation:

The expression is:

$\frac{2}{5}\times (-\frac{3}{7})-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}$

Simplify as follows:

$\frac{2}{5}\times (-\frac{3}{7})-\frac{1}{6}\times \frac{3}{2}+\frac{1}{14}\times \frac{2}{5}=[\frac{2}{5}\times (-\frac{3}{7})]-[\frac{1}{6}\times \frac{3}{2}]+[\frac{1}{14}\times \frac{2}{5}]$

                                          $=-\frac{6}{35}-\frac{1}{4}+\frac{1}{35}$

                                          $=\frac{-24-35+4}{140}$

                                          $=\frac{-55}{140}$

                                          $=-\frac{11}{28}$

Thus, the value of the expression is $-\frac{11}{28}$.