1/4 to 1/2 Find a percent of change, round to the nearest 10th of a percent if necessary. __% of increase or decrease

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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Farah 3 years 2021-07-27T11:43:25+00:00 1 Answers 75 views 0

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    2021-07-27T11:44:53+00:00

    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.

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