Question

How do you write $13\% $ as a fraction?

Answer 1

Hint: In this type of problem where we need to find the fraction from the percent we must know what percent means. If the person scores $n\% $ it simply means that he scored $n$ out of $100$ and we can write it in the form of the fraction as $\dfrac{n}{{100}}$
Hence we can simply proceed according to the above information.

Complete step-by-step answer:
Here we are given to find the fraction of the term which is given in the form of the percentage which is $13\% $ and therefore we must know what the fraction actually means. It can be termed as the term where we have both the numerator and the denominator. It can be made clearer with an example. If the student scored marks $5{\text{ out of 10}}$ then we can say that $5$ will be our numerator and $10$ will be our denominator. So we can write this as the fraction $\dfrac{5}{{10}}$
. If the person scores $n\% $ it simply means that he scored $n$ out of $100$ and we can write it in the form of the fraction as $\dfrac{n}{{100}}$
Hence we can proceed in the same way as we have understood the meaning of what fraction and percent is and also how percent can be converted into the fraction.
So here we are given the term $13\% $
So it actually means there are $13$ marks outs of $100$
Hence the fraction of the given term which is $13\% = \dfrac{{13}}{{100}}$.

Note: We must also know that whenever we are given to find the fraction of the decimal term, we need to remove the decimal first by putting in the denominator the value in the power of ten as per required to remove the decimal. Then we need to convert that fraction in the simplest form.
For example: If we have the term $100.12$ so we can write it as $\dfrac{{10012}}{{100}}$