Question

How do you write $\dfrac{6}{25}$ as a decimal?

Answer 1

Hint: For the above question, you need to convert the denominator to 10, 100, or 1000, etc . That means to the power of 10, with the help of basic operations like multiplication. Then you can simply get the result for the problem statement. So, let’s have a look at what will be the approach for the problem.

Complete Step by Step Solution:
The given problem statement is to write $\dfrac{6}{25}$ as a decimal.
The first thing which we need to do is to convert the denominator in the form of 100. For that, we need to multiply the denominator and the numerator with 4, which means, we get,
$=\dfrac{6}{25}\times \dfrac{4}{4}$
Now, when we simplify the above portion we get,
$\Rightarrow \dfrac{6}{25}\times \dfrac{4}{4}=\dfrac{24}{100}$
Now, we can clearly observe the fraction containing the power of 10 in the denominator. Henceforth, we can convert it to decimal. We will have a look at the power of 10. Here, it is 100 so we will put the decimal before two number from the right side, that means, we get,
$=0.24$

Therefore, the value of $\dfrac{6}{25}$ in the form of the decimal is 0.24.

Note:
There is an alternative way for the given problem and it is pretty easy and can be evaluated with fewer steps.
The given problem statement is to write $\dfrac{6}{25}$ as a decimal.
We just need to simply divide $\dfrac{6}{25}$ and we will get the result.
$=25|6.00$
           $\overline{0.24}$
Therefore, the value of $\dfrac{6}{25}$ in the form of the decimal is 0.24.