Question

Which expression shows that the quotient

Answer 1

Answer:

Option (2)

Step-by-step explanation:

Given expression is $\frac{2}{(3x-1)}$ ÷ $\frac{6}{6x-1}$

We further simplify this expression,

$\frac{2}{(3x-1)}$ ÷ $\frac{6}{6x-1}$

= $\frac{2}{(3x-1)}\times \frac{6x-1}{6}$

= $\frac{6x-1}{3(3x-1)}$

= $\frac{6x-1}{(9x-3)}$

Therefore, $\frac{6x-1}{(9x-3)}$ will be the quotient of the given expression.

$x\neq \frac{1}{3}$ and $x\neq \frac{1}{6}$ for which the given expression is not defined.

Option (2) will be the answer.