Question

How do you write \[\dfrac{3}{{25}}\] into percent?

Answer 1

Hint: In the above question we are given a fractional number that is \[\dfrac{3}{{25}}\] and we are asked to convert it into percent. For solving such kind of questions we would first convert the given fraction into the decimal so one should first know about the decimal representation or the decimal numbers that can be defined as the form of the number in which it contains a whole number and the decimal part after the dot or point which is known as a decimal point. Now the percentage is the number or ratio expressed as a fraction of \[100\].

Complete step-by-step answer:
Here in this question we are given a fraction that is \[\dfrac{3}{{25}}\] and we are asked to the following into percent for converting the given fraction into percent we need to convert it into the decimal first For this we need to divide the given numerator by the denominator that is, in this case, the given fraction is \[\dfrac{3}{{25}}\] here we would divide the numerator that is \[3\] by the denominator that is \[25\] so it comes out to be –
\[\dfrac{3}{{25}} = 0.12\]
So \[0.12\] is the decimal of the given fraction \[\dfrac{3}{{25}}\]
Now for the percent (which can be defined as number or ratio expressed as a fraction of\[100\].) That is done by multiplying the decimal of the fraction by \[100\]that is –
\[0.12{\times}100 = 12\% \]
So the resultant percent of the fraction\[\dfrac{3}{{25}}\] is \[12\% \]

Note: While solving such kind of questions one should have a detailed knowledge of the percentage. The calculations here are needed to be done with concentration as the whole question depends on the precision of the answer. Also, one thing here a person should keep in its mind the method of getting the percentage directly from the fraction that is done by multiplying the denominator of the fraction by such number that will make it a hundred and multiplying the similar number to the numerator by the similar number that is multiplied by the denominator.