Question

How do you write \[0.6\% \] as a fraction?

Answer 1

Hint: Here, we will first write the percentage in the fraction form with the denominator as 100. Then we will remove the decimal point by multiplying and dividing the fraction by a multiple of 10. Then we will divide the numerator and denominator by a common factor to get the required fraction.

Complete step by step solution:
Given number is \[0.6\% \].
First, we will convert the given number from the percentage form to the normal fraction form. We know that to convert the percentage into the normal form we will divide the number by 100. Therefore, we get
\[0.6\% = \dfrac{{0.6}}{{100}}\]
Now we will remove the decimal from the numerator of the fraction form. So, we will multiply both numerator and denominator by 10. Therefore, we get
\[ \Rightarrow 0.6\% = \dfrac{{0.6 \times 10}}{{100 \times 10}}\]
\[ \Rightarrow 0.6\% = \dfrac{6}{{1000}}\]
Now dividing the numerator and denominator by 2, we get
\[ \Rightarrow 0.6\% = \dfrac{{\dfrac{6}{2}}}{{\dfrac{{1000}}{2}}}\]
\[ \Rightarrow 0.6\% = \dfrac{3}{{500}}\]
As there is no common factor between 3 and 500, so we cannot simplify the fraction further.

Hence, \[\dfrac{3}{{500}}\] is the simplest fraction of the \[0.6\% \].

Note:
While calculating the percentage of something we have to multiply the ratio with 100 to get it in terms of percentage or to convert the percentage into the normal form we will divide the number by 100. . We know that any value can be written as a percentage and it can be represented in the form of a fraction or decimal number. The concept of the percentage is widely used for the representation of the larger set of data having very large values like for population increase or used in our educational system or used in banks for interest rates. We should put the $\% $ sign after writing the percentage value.