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

Question

asked May 19, 2021 112k views

2 Answers

Daizuozhuo · Answer 1 · 2021-05-24T01:09:57+0000

Answer:

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.