Question

Solve using suitable property -2/3 + 5/7 + -8/9 + 3/14

Answer 1

`(-79)/(126)`

Explanation:

The given expression is :

`(-2)/(3)+(5)/(7)+(-8)/(9)+(3)/(14)`

The LCM of 3,7,9 and 14 is 126

So,

`(-2)/(3)+(5)/(7)+(-8)/(9)+(3)/(14)=(42(-2)+18(5)+14(-8)+9(3))/(126)\\\\=(-79)/(126)`

So, the value of the given expression is equal to
`(-79)/(126)`.