Question

What is $6\%$ as a fraction in its simplest form?

Answer 1

Hint: Here we have to find the fraction form of the $6\%$ in the simplest form. In mathematics, percentage is a number or ratio that represents a fraction of $100$. We can also write any percentage number into decimal numbers. The given number is $6\%$. We can write it as $0.06$ in decimal form. When we divide a whole into equal parts, each part is a fraction of the whole. Fraction also represents parts of a set or collection.

Complete step by step solution:
The given number is $6\%$, we can also write it as $\dfrac{6}{100}$ , we can also say that percent means out of a hundred.
Now, we get the $6\%$ in the fraction form $\dfrac{6}{100}$, where $100$ is total. Now we know that we can easily reduce fraction numbers into the simplest form.
To reduce fraction into simplest form, first we will find the common factor of the numerator and denominator. A fraction is in simplest form when the top and bottom cannot be any smaller, while still being the whole number.
Now, we can easily see the common factor of $6,100$ is $2$. So by removing the common factor from numerator and denominator, we get
$\Rightarrow \dfrac{6}{100}=\dfrac{2\cdot 3}{2\cdot 50}=\dfrac{3}{50}$
Thus we can easily see that there is no common factor between $3,50$. Hence we get the simplest form of $\dfrac{6}{100}$ which is $\dfrac{3}{50}$.

Note: To write any percentage into fraction form we have to find out the common factor of both the numbers, since we have been asked to find out the simplest form of fraction, so we have to reduce them until they could not have any common factor left.