Question

What is $0.5\%$ written as a fraction?

Answer 1

Hint: Here in this question we have been asked to write the given value $0.5\%$ as a fraction which we can write by using the concept which says that percent is defined as the given quantity of parts per hundred.

Complete step by step solution:
Now considering the question we have been asked to write the given value $0.5\%$ as a fraction.
From the basic concepts we know that percent means the quantity per hundred.
Now for expressing the given value as a fraction we will remove the percent symbol and divide it by 100 and simplify it further into the reduced form.
By doing that we will have $\Rightarrow \dfrac{0.5}{100}$ .
Now as we have a decimal number in the numerator we will try to remove the decimal point by multiplying both numerator and denominator with 10. By doing this we will have $\Rightarrow \dfrac{0.5\times 10}{100\times 10}$ .
Now by further simplifying this we will have $\Rightarrow \dfrac{5}{1000}$ .
Now by further simplifying this to the reduced form we will have $\Rightarrow \dfrac{1}{200}$ .
Therefore we can conclude that the value of the given number $0.5\%$ as a fraction we will have $\dfrac{1}{200}$.

Note: In the process of answering questions of this type we should be sure with the concepts that we are applying in between the steps. The calculations that we are going to perform in between the steps should be performed carefully. The percentage of a value can be calculated by using the formula $\dfrac{a}{b}\times 100$ where $a$ is a part of the quantity and $b$ is the value of the total quantity.