Question

How do you express $\dfrac{{11}}{{40}}$as a percent?

Answer 1

Hint:In the above question the only information we know is the number which is given in fraction form and we need to convert it into percent which has the symbol %. Since the percent is always expressed as a fraction of 100, therefore we need to multiply it by 100.

Complete step by step solution:
Percentage is expressed as ratio with a fraction of 100.It is denoted with % sign written after the number. It is often used to express proportionate part of 100.The above given is the fraction \[\dfrac{{11}}{{40}}\]
where 11 is the numerator and 40 is the denominator.
Given,Here the denominator is greater than the numerator so it is obvious that we will get the number in decimal format starting with zeros.
So, because of this we add a decimal point after 12 with zeros after it. We can add how much ever zeros after the point but for now will add only three zeros.
Therefore, the division is as follows:
\[\dfrac{{11.000}}{{40}} = 0.275\]
Therefore, we get the value as 0.275 that is in decimal form. So now we have to multiply it with 100 to convert it into percentage.
So, we further write it as,
\[0.275 \times 100 = 27.5\% \]
So, we get the answer as 27.5% from the fraction.

Note: An important thing to know is that we can also use an alternative method where the fraction’s denominator can be multiplied in such a way that its value will be 100 and then multiply the same with numerator i.e, \[\dfrac{{11}}{{40}} \times \dfrac{{2.5}}{{2.5}} = \dfrac{{27.5}}{{100}}\] which is approximately 27.5%.