Question

Which expression shows that the quotient

2/3x-1 ÷ 6/6x-1
is also a rational expression? Assume x
1/3 and x 1/6​

Answer 1

B

Explanation:

Answer 2

Option (2)

Explanation:

Given expression is
`(2)/((3x-1))` ÷
`(6)/(6x-1)`

We further simplify this expression,

`(2)/((3x-1))` ÷
`(6)/(6x-1)`

=
`(2)/((3x-1))* (6x-1)/(6)`

=
`(6x-1)/(3(3x-1))`

=
`(6x-1)/((9x-3))`

Therefore,
`(6x-1)/((9x-3))` will be the quotient of the given expression.

`x\\eq (1)/(3)` and
`x\\eq (1)/(6)` for which the given expression is not defined.

Option (2) will be the answer.