Question

Solve using suitable property
-2/3 x 5/7 x -9/16 x 14/25

Answer 1

Given:

The given expression is:

`(-2)/(3)* (5)/(7)* (-9)/(16)* (14)/(25)`

To find:

The value of the given expression.

Solution:

We have,

`(-2)/(3)* (5)/(7)* (-9)/(16)* (14)/(25)`

It can be written as:

`=(-2)/(3)* (5)/(7)* (-3* 3)/(2* 2* 2* 2)* (2* 7)/(5* 5)`

`=(-2* 5* (-3)* 3* 2* 7)/(3* 7* 2* 2* 2* 2* 5* 5)`

Cancel out the common factors.

`=(-(-3))/(2* 2* 5)`

`=(3)/(20)`

Therefore, the value of given expression is
`(3)/(20)`.