Question

Simplify the following expression.


`(3)/(11)a -(4)/(7)-(1)/(3)a+(2)/(3)`

Answer 1

The simplified expression is
`(-2a)/(33) +(2)/(21)`

Step-by-step explanation:

The expression is
`$(3)/(11) a-(4)/(7)-(1)/(3) a+(2)/(3)$`

Grouping the like terms,

`$(3)/(11) a-(1)/(3) a-(4)/(7)+(2)/(3)$`

Adding the like terms, we get,

`(9a-11a)/(33) +(-12+14)/(21)`

Subtracting the values, we have,

`(-2a)/(33) +(2)/(21)`

Thus, the simplified expression is
`(-2a)/(33) +(2)/(21)`