Question

How do you convert \[\dfrac{1}{4}\] to percent?

Answer 1

Hint: To convert \[\dfrac{1}{4}\] to percent means that we are supposed to find the \[\dfrac{1}{4}th\] value of something total. Generally, total means nothing but complete or in the language of percent , it is \[100\%\]. So to find the percent of \[\dfrac{1}{4}\], we have to multiply it with \[100\], and solving this, would gives us the percent value of \[\dfrac{1}{4}\].

Complete step by step answer:
Now let us have a brief regarding percentages. In mathematics, percentage is nothing but a number being expressed in the ratio of \[100\] and the value obtained is denoted by \[\%\]. Percentages can be expressed in the form of fractions or decimals. Percentages can be reversed by simply reversing the operations performed and we can obtain the original number. A simple percentage trick is that \[x\%y=y\%x\]. This trick can be applied to those when both the numbers considered in both the cases are equal.
Now let us find the percent value of \[\dfrac{1}{4}\].
Upon calculation with respect to \[100\], we obtain \[\dfrac{1}{4}\times 100=25\%\]
\[\therefore \] The percent value of \[\dfrac{1}{4}\] is \[25\%\].

Note: We use percentages because it is useful in comparing things that possess different numbers. Percentages can be used in our day-to-day life for calculating grades or marks, the profit or the loss percent of a business, the discount percent allowed by the trader. From the problem we solved, we can say that \[25\] is the \[4th\] part of \[100\]. We can use percentages in calculating the percentage difference between numbers also.