Question

1/4 to 1/2

Answer 1

Given:

$\dfrac{1}{4}\text{ to }\dfrac{1}{2}$

To find:

The percent of change, round to the nearest 10th of a percent.

Solution:

We have,

Initial value = $\dfrac{1}{4}$

New value = $\dfrac{1}{2}$

We know that, the percentage change is

$\%\text{ change}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100$

Putting the given values, we get

$\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100$

$\%\text{ change}=\dfrac{\dfrac{2-1}{4}}{\dfrac{1}{4}}\times 100$

$\%\text{ change}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}\times 100$

$\%\text{ change}=1\times 100$

$\%\text{ change}=100\%$

Here, the % change is positive, it represents the percent increase.

Therefore, the percent of change is 100% of increase.