Question

How do you write \[\dfrac{3}{{50}}\] as percentage?

Answer 1

Hint: This is the given number is in fraction form. It is having a numerator and denominator. As we need to convert them into percentage we will multiply it with 100. This is because this fraction is a part of the whole so we will find what part it is of 100%. So we will simply multiply it with 100 and simplify the fraction to simplest form. We will also see some other methods to do the same conversion of fraction into percentage.

Complete step-by-step answer:
Given the number is fraction form.
 \[\dfrac{3}{{50}}\]
Here now this is already in the simplest form now but in order to convert it in the percent form we will multiply it by 100.
 \[ \Rightarrow \dfrac{3}{{50}} \times 100\]
Now we will divide 100 by 50,
 \[ \Rightarrow 3 \times 2\]
On multiplying this we get,
 \[ \Rightarrow 6\% \]
This is our answer.
So, the correct answer is “6%”.

Note: Here note that we are asked to find the percentage. We know that percent word means per 100. So we also can use one alternate method to find the solution.
Method 1: Here percent means the denominator should be 100. So in order to make denominator 100 we will multiply and divide the above fraction by 2 (also the fraction should not change).
 \[ \Rightarrow \dfrac{3}{{50}} \times \dfrac{2}{2} = \dfrac{6}{{100}}\]
Here is our one step answer. The numerator is our percent number.
Method 2: also we can divide this fraction and convert it in decimal form.
 \[ \Rightarrow \dfrac{3}{{50}} = 0.06\]
Now to find the percentage multiply and divide this decimal number by 100 so we get,
 \[ \Rightarrow 0.06 \times \dfrac{{100}}{{100}} = \dfrac{{0.06 \times 100}}{{100}} = \dfrac{6}{{100}}\]
Again this is our percentage.