# Convert the following fraction into percentage:

$\dfrac{{24}}{{288}}$

Last updated date: 26th Mar 2023

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Answer

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Hint: In this question a fraction is given and we have to convert it into percentage. So the standard way is to multiply the given fraction with 100. Since the given fraction is a proper fraction so the value of the percentage that will come will be less than 100%.

Complete step-by-step answer:

In the question, given fraction = \[\dfrac{{24}}{{288}}\]

We have to convert this fraction into percentage.

The shortcut method to convert a number into fraction is given by:

${\text{Percentage = Given number}} \times {\text{100% }}{\text{.}}$

Therefore, for the given number we can write:

${\text{Percentage = }}\dfrac{{24}}{{288}} \times {\text{100% = 8}}{\text{.33% }}$ .

Method 2:

We can also solve this question by unitary method.

$

288{\text{ corresponds to 100% }} \\

\therefore {\text{1 corresponds to }}\dfrac{{100}}{{288}}\% . \\

\therefore 24{\text{ corresponds to }}\dfrac{{100}}{{288}} \times 24\% = 8.33\% \\

$

Note: In this question, we have to convert a fraction into percentage. You should remember the shortcut method to convert a number into fraction i.e. multiply the given number by 100. Converting into percentages means we are calculating how much part of 100 is the given number.

Complete step-by-step answer:

In the question, given fraction = \[\dfrac{{24}}{{288}}\]

We have to convert this fraction into percentage.

The shortcut method to convert a number into fraction is given by:

${\text{Percentage = Given number}} \times {\text{100% }}{\text{.}}$

Therefore, for the given number we can write:

${\text{Percentage = }}\dfrac{{24}}{{288}} \times {\text{100% = 8}}{\text{.33% }}$ .

Method 2:

We can also solve this question by unitary method.

$

288{\text{ corresponds to 100% }} \\

\therefore {\text{1 corresponds to }}\dfrac{{100}}{{288}}\% . \\

\therefore 24{\text{ corresponds to }}\dfrac{{100}}{{288}} \times 24\% = 8.33\% \\

$

Note: In this question, we have to convert a fraction into percentage. You should remember the shortcut method to convert a number into fraction i.e. multiply the given number by 100. Converting into percentages means we are calculating how much part of 100 is the given number.

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