Question

How do you convert $\dfrac{9}{{10}}$ into a percent?

Answer 1

Hint:
Here we must know that whenever we are given the fraction where numerator and denominator are given we simply need to multiply the fraction with $100$ and get the percent form of the fraction which we are given.

Complete step by step solution:
Here we are given the fraction $\dfrac{9}{{10}}$ and we need to find the percentage of the fraction.
To solve this, we need to know what actual percentage means. It is actually the number or ratio that represents a fraction of $100$ and this can be clearer with one example.
For example: If a student scores $20$ marks out of $40$ and we need to calculate the percent, we just firstly need to write it in the form of fraction which will be $\dfrac{{{\text{marks obtained}}}}{{{\text{total marks}}}} = \dfrac{{20}}{{40}}$
Now to convert it into the percentage we just need to convert these marks out of $100$ and get the percentage as percentage is always calculated with respect to $100$
So we will multiply this fraction with $100$ and get the required percent and symbolize it with $\% $
So we will get:
$ = \dfrac{{20}}{{40}} \times 100 = 50\% $
It actually means that with respect to $100$ he has scored $50$ marks.
Similarly we can solve for the fraction which is given to us $\dfrac{9}{{10}}$
We here are already given the fraction and we just need to convert it into the percentage form. So we will multiply it with the term $100$ to do so.
So we get:
$\dfrac{9}{{10}} \times 100\% $
On solving it we will get:
$\dfrac{9}{{10}} \times 100 = 90\% $

Note:
Even if we are given to convert decimal also into the percent, we just need to multiply the decimal term by $100$ and get the required percentage. For example: $0.1$ will be equal to the percentage form which will be equal to $0.1(100) = 10\% $