Question

Which number is not equivalent to $\frac{40}{66}$?

1. $\frac{20}{33}$
2. $\frac{60}{99}$
3. $0.\overline{6}$
4. $0.\overline{60}$

Short answer

The number not equivalent to $\frac{40}{66}$is $0.\overline{6}$.

Step-by-step solution

Step 1. Given information

The number is $\frac{40}{66}$.

Step 2. Calculation 

Simplify the number $\frac{40}{66}$

$\frac{40}{66}=\frac{20}{33}$

$\Rightarrow$Option A, $\frac{20}{33}$ is equivalent to $\frac{40}{66}$

$\Rightarrow$Option B, $\frac{60}{99}=\frac{20}{33}$ is equivalent to $\frac{40}{66}$

$\Rightarrow$Option C,

$\begin{array}{c}0.\overline{6}=\frac{6}{9}\\ =\frac{2}{3}\end{array}$

is not equivalent to $\frac{40}{66}$

$\Rightarrow$Option D,

$\begin{array}{c}0\times \overline{60}=\frac{60}{99}\\ =\frac{20}{33}\end{array}$

is equivalent to $\frac{40}{66}$

Step 3. Calculation 

Thus, option C,

$\begin{array}{c}0.\overline{6}=\frac{6}{9}\\ =\frac{2}{3}\end{array}$

is not equivalent to $\frac{40}{66}$.