Question

How do you write ${\displaystyle \frac{16}{25}}$ as 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 ${\displaystyle \frac{16}{25}}$ and we need to find the percentage of the fraction.
To solve this, we need to know what the 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 ${\displaystyle \frac{\text{marks obtained}}{\text{total marks}}}={\displaystyle \frac{20}{40}}$.
Now to convert it into the percentage we just need to convert these marks out of $100$ and get the percentage as a 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 $\mathrm{\%}$
So we will get:
$={\displaystyle \frac{20}{40}}\times 100=50\mathrm{\%}$
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 ${\displaystyle \frac{16}{25}}$
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:
${\displaystyle \frac{16}{25}}\times 100\mathrm{\%}$
On solving it we will get:

${\displaystyle \frac{16}{25}}\times 100=64\mathrm{\%}$

Note:
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 $0.1(100)=10\mathrm{\%}$.