Question

How can we solve the fraction \[\dfrac{7}{{30}}\] into percentage?

Answer 1

Hint- In the question we have, \[\dfrac{a}{b}\] is a fraction. We have to change the fraction value into a percentage. So, we need to multiply \[\dfrac{a}{b}\] with \[100\% .\]
That is, \[\dfrac{a}{b} \times 100\% \]
Formula used: Percentage of a fraction\[\dfrac{a}{b}\]=\[\dfrac{a}{b} \times 100\% \]
Complete step by step answer:
Let us consider the given fraction is, \[\dfrac{7}{{30}}\].
Now it is given that we have to solve the fraction value into percentages.
To solve the problem, we should multiply the given fraction \[\dfrac{7}{{30}}\] with \[100\% \]
Let us consider the fraction
\[\dfrac{7}{{30}}\]
Converting the given fraction into percentage we get,
\[\dfrac{7}{{30}} \times 100\% \]
First, let us multiply\[7 \times 100\% \], it gives,
\[ = \dfrac{{700}}{{30}}\% \]
Canceling the common zero in the above-mentioned step we get,
\[ = \dfrac{{70}}{3}\% \]
To find the percentage of fraction we have to divide the above step. We get,
\[ = 23.33\% \]
Finally, we got the percentage of the fraction. That is
\[\dfrac{7}{{30}} = 23.33\% \]
Hence, the percentage of the fraction, \[\dfrac{7}{{30}} = 23.33\% \]
Additional Information:
Here without multiplying, \[7 \times 100\% \] we can also solve the question,
Now consider the fraction which is given,
\[\dfrac{7}{{30}}\]
Now let us convert the fraction into a percentage by multiplying it with \[100\% .\]
\[\dfrac{7}{{30}} \times 100\% \]
Now let us solve the given fraction, i.e. let us divide$7{\text{ by 30}}$,
 On dividing $7{\text{ by 30}}$we get,
$\dfrac{7}{{30}} = 0.2333333$
On considering it to four decimal places we get $\dfrac{7}{{30}} = 0.2333$
Now \[\dfrac{7}{{30}} \times 100\% \] becomes as $0.2333 \times 100\% $
On multiplying the decimal number with \[100\% .\]we get,
\[\dfrac{7}{{30}} = 23.33\% \]
Hence the answer can also be found this way.

Note: We have to multiply a fraction with \[100\% \]to find the percentage of any fraction and inversely to find a fraction from the given percentage we should divide it with\[100\% \].i.e. the given percentage value is divided by \[100\% \]to find the fraction.