Question

How do you write \[12.5\% \] as a fraction in simplest form?

Answer 1

Hint: In the above question we are given a percentage that is \[12.5\% \]and we are asked to write it in a fraction in the simplest form. For approaching such kinds of questions we need to first know what are the fraction or the fractional number and the percentage. So the fractional numbers or the fraction are the numbers of the form \[\dfrac{p}{q}\] where \[p\] and \[q\] both are real numbers can be negative and positive where \[p\] and \[q\] cannot be zero and the percentage is the number or ratio expressed as a fraction of\[100\]. Now let us see completely how to write the given percent into the fraction of the simplest form in the complete step by step solution.

Complete step-by-step answer:
So in this question we are provided with the percentage (the percentage is the number or ratio expressed as a fraction of\[100\].) that is \[12.5\% \] and we are asked to write in the simplest fraction form ( the fractional numbers or the fraction are the numbers of the form \[\dfrac{p}{q}\]where \[p\]and \[q\] both are real numbers can be negative and positive where \[p\]and \[q\]cannot be zero and the \[p\] is numerator and \[q\] is the denominator)
So firstly for getting the simplest fractional form we need to convert the percentage into the fraction that is dividing the given fraction by the \[100\] which is depicted as-
\[12.5\% = \dfrac{{12.5}}{{100}}\]
Further simplifying that is removing the decimal point we get the resultant as –
$\Rightarrow$ \[12.5\% = \dfrac{{125}}{{1000}}\]
On further simplification we get –
$\Rightarrow$ \[12.5\% = \dfrac{{25}}{{400}}\]
\[ = \dfrac{1}{8}\]
So the simplest form fraction of the given percentage \[12.5\% \] is \[ = \dfrac{1}{8}\].

Note: While solving such kind of questions one should do the calculations with the utter concentration as to prevent any mistake that could get the whole question getting wrong. Also while approaching such questions one should have a knowledge of the types of fractions that is equivalent fraction, proper fraction (in which the numerator is inferior to the denominator), improper fraction (in this the numerator is greater than denominator), mixed fraction (the type of the fractional numbers which consist of a whole part and a fractional part of the number that is of the form \[t\dfrac{p}{q}\] where \[t\] is the whole number part and the \[\dfrac{p}{q}\] is the fractional part ).