Question

How do you express $\dfrac{9}{{25}}$ as a percent?

Answer 1

Hint:
In the given question, we have converted the fraction number into decimal. We know that a number in fraction form has a numerator and denominator. So firstly find a number you can multiply by the bottom of the fraction like it \[10,{\text{ }}or{\text{ }}100,{\text{ }}or{\text{ }}1000{\text{ }} \ldots \ldots \ldots \ldots \ldots .\] Multiply both top and bottom by that number. Then we write down just the top number putting the decimal point in the correct spot (one space from the right and side for every zero in the bottom number.)
Then multiply by $100$ and write the percentage \[\left( \% \right)\] symbol.

Complete step by step solution:
Step1: Given fraction is $\dfrac{9}{{25}}$. Here $9$ is numerator and $25$ is denominator. Firstly we find that number if we multiply by $25$, get $100$ therefore $25 \times 4 = 100$ we can write as $\dfrac{{9 \times 4}}{{25 \times 4}}$
Here $4$ multiply by both numerator and denominator.

Step2: After solving we get $\dfrac{{36}}{{100}}$
i.e. $\dfrac{9}{{25}} = \dfrac{{36}}{{100}}$
Further $36$ can be written as right side of the decimal because of two zeros, therefore we can write as $\dfrac{{36}}{{100}} = 0.36$

Step3: Further, $\dfrac{{36}}{{100}} = 0.36$ is multiplied by $160$ and then takes the $\% $ sign.
that is $036 \times 100\% $.
We can write as $36\% $ .

Therefore, the percentage of $\dfrac{9}{{25}}$ is $36$.

Note:
Decimal a number system in mathematics positional numeral system takes as a base and requires in different numbers the digit $0,1,2,3,.....,9$. It also requires a dot (decimal point) to represent decimal fraction. The numerals used in density a number on the different place value depending upon the position.