Question

using appropriate properties find 2/5× –3/7 –1/14 –3/7 ×3/5

Answer 1

Hey mate.....
In the above picture, it is solved using appropriate property.
.........Hope it helps........

Answer 2

Answer:

$\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}=-\frac{1}{2}$

Step-by-step explanation:

Given : Expression $\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}$

To find : The expression using appropriate properties ?

Solution :

$\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}$

Applying commutative property, $a+b=b+a$

$=\frac{2}{5}\times \frac{-3}{7}-\frac{3}{7}\times\frac{3}{5} -\frac{1}{14}$

Applying distributive property, $ab+ac=a(b+c)$

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

$=\frac{-3}{7}(\frac{5}{5})-\frac{1}{14}$

$=-\frac{3}{7}-\frac{1}{14}$

Taking LCD and solve,

$=\frac{-6-1}{14}$

$=\frac{-7}{14}$

$=\frac{-1}{2}$

Therefore, $\frac{2}{5}\times \frac{-3}{7} -\frac{1}{14}-\frac{3}{7}\times\frac{3}{5}=-\frac{1}{2}$