Question

1/3 < __?___ < 46% which makes this statement true? a. 0.03 b. .25 c. .04 d. .40

Answer 1

First, write 1/3 and 46% as decimals:

`\begin{gathered} (1)/(3)=0.333\ldots \\ 46\text{ \%}=(46)/(100)=0.46 \end{gathered}`

Then, we are searching for a number between 0.333... and 0.46.

0.03 is less than 0.333...

0.25 is less than 0.333...

0.04 is less than 0.333....

0.40 is greater than 0.333... and lower than 0.46.

Then, 0.40 is betweenn 0.333... and 0.46.

Therefore, the answer is:

`\begin{gathered} \text{Option D)} \\ 0.40 \end{gathered}`