Question

How do you write 23/25 as a decimal?

Answer 1

Hint:
In the given question you were asked to write $\dfrac{23}{25}$ , you can see that this is a proper fraction because its denominator is greater than its numerator. For converting any fraction which 0’s at its denominator into decimal is very easy. You just have to count the number of 0’s in the denominator and place the decimal point in the numerator after that much 0’s. So let us see how we can solve this problem.

Complete Step by Step Solution:
In the given question, we need to convert $\dfrac{23}{25}$ into decimal. We can easily solve this question if the denominator was 10, 100, 1000 so one.
In this case, we can make the denominator 100 by multiplying both the numerator and denominator by 4.
 $=\dfrac{23}{25}\times \dfrac{4}{4}$
After multiplying the numerator we get,
 $=\dfrac{92}{100}$
As there are two zeroes in the denominator, we can give the decimal point after two points (starting from right) of the numerator
 $=\dfrac{0.92}{1\not{0}\not{0}}$

Therefore, $\dfrac{23}{25}$ is 0.92 in decimal.

Note:
In the above solution we tried to make a denominator in terms of ${{10}^{n}}$ (where n is 1, 2, 3…n) because having denominators as 0’s are easily convertible to decimal. But we can solve this problem by simply dividing it also. That would have taken too much time which is why we make the denominator in terms of ${{10}^{n}}$ .