Question

1/4 to 1/2

Find a percent of change, round to the nearest 10th of a percent if necessary.

__% of increase or decrease (ANSWER ASAP)
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Answer 1

Given:

`(1)/(4)\text{ to }(1)/(2)`

To find:

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

Solution:

We have,

Initial value =
`(1)/(4)`

New value =
`(1)/(2)`

We know that, the percentage change is

`\%\text{ change}=\frac{\text{New value - Initial value}}{\text{Initial value}}* 100`

Putting the given values, we get

`\%\text{ change}=((1)/(2)-(1)/(4))/((1)/(4))* 100`

`\%\text{ change}=((2-1)/(4))/((1)/(4))* 100`

`\%\text{ change}=((1)/(4))/((1)/(4))* 100`

`\%\text{ change}=1* 100`

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

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

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