Question

How to make ${\displaystyle \frac{3}{10}}$ a percent?

Answer 1

Hint: In order to convert ${\displaystyle \frac{3}{10}}$ into percent, compare ${\displaystyle \frac{3}{10}}$ with ${\displaystyle \frac{x}{100}}$ and find the value of $x$ by moving $100$ from right to left side which can be done by multiplying both the sides by $100$ , where $x$ is the percentage obtained for ${\displaystyle \frac{3}{10}}$ .

Complete step by step solution:
We are given a fraction ${\displaystyle \frac{3}{10}}$.
Since, we know that a percent is a value out of $100$ . So, let that percent be $x$ in this question and it’s becomes:
 ${\displaystyle \frac{x}{100}}$
For finding ${\displaystyle \frac{3}{10}}$ as a percent comparing it with ${\displaystyle \frac{x}{100}}$ , and we get:
 ${\displaystyle \frac{3}{10}}={\displaystyle \frac{x}{100}}$
To get the value of $x$ , multiply both the sides by $100$ and we get:
 $$\begin{gathered} {\displaystyle \frac{3}{10}}\times 100={\displaystyle \frac{x}{100}}\times 100 \\ 30=x \end{gathered}$$
Therefore, ${\displaystyle \frac{3}{10}}$ can be written as $30\mathrm{\%}$ or $30$ percent.
So, the correct answer is “ $30\mathrm{\%}$ ”.

Note: Since, we know that $1$ percent is a value out of $100$ , So one method of changing the fraction to a decimal is to find an equivalent fraction with 100 as the denominator.
To solve through this method, multiply and divide the fraction ${\displaystyle \frac{3}{10}}$ by $10$ , so that we get $100$ as our denominator.
 $$\begin{gathered} {\displaystyle \frac{3}{10}}\times {\displaystyle \frac{10}{10}} \\ ={\displaystyle \frac{30}{100}} \end{gathered}$$
Since, we have got $30$ out of $100$ . So, we can write it as $30$ percent of $30\mathrm{\%}$ .