Question

Convert the following percentage into decimal fractions.
A) \[40\% \]
B) \[25\% \]

Answer 1

Hint: In the question we have to convert the given percentage into decimal fraction. First change the percentage into the fraction value, then convert the fraction value into the decimal fraction.
We can represent \[a\% \] in fraction as \[\dfrac{a}{{100}}\].
We will count the zeros at the denominator. Then, we will put the decimal point by skipping places the same as the number of zeros of the numerator.

Complete step-by-step answer:
Let us consider the given percentages are, \[40\% \] and \[25\% \]. We have to find the decimal fraction of the respective percentage.
To solve the problem, we should convert \[40\% \] into a fraction.
Converting \[40\% \] into a fraction we get,
\[ \Rightarrow \dfrac{{40}}{{100}}\]
Now we will convert it into decimal.
At the denominator we have, \[100\]. \[100\] has two zeros. So, we will put the decimal point by skipping two places of the numerator. That is, we get, \[0.40\].
There is no value of zero at the extreme right of a decimal number. So, we can eliminate that.
$\therefore $ Converting \[40\% \] into a decimal fraction we get, \[0.4\].
To solve the problem, we should convert \[25\% \] into a fraction.
Converting \[25\% \] into a fraction we get,
\[ \Rightarrow \dfrac{{25}}{{100}}\]
Now we will convert it into decimal.
At the denominator we have, \[100\]. \[100\] has two zeros. So, we will put the decimal point by skipping two places of the numerator. That is, we get, \[0.25\].
$\therefore $ Converting \[25\% \] into a decimal fraction we get, \[0.25\].

Note: We have to multiply \[100\% .\] to find the percentage of any fraction and divide the \[100\% .\] To find the percentage to fraction value.
We will count the zeros at the denominator. Then, we will put the decimal point by skipping places the same as the number of zeros of the numerator.