Question

How do you convert $0.04$ into fractions and percent?

Answer 1

Hint: We need to find the fraction form and percentage of the decimal $0.04$. We convert the decimal in fraction by changing the position of the decimal point. To compensate for that we have to multiply $\dfrac{1}{10}$. We get the fraction. Then we multiply the fraction with 100 to find the percentage value.

Complete step by step solution:
For the given decimal $0.04$, we move the decimal to the right one position. The decimal goes to the rightmost position. We compensate the movement of the decimal by multiplying $\dfrac{1}{10}$ to the main number $0.04$. The fraction $\dfrac{1}{10}$ is equal to $0.04$.
We explain the first two steps. The decimal starts from its actual position in $0.04$.
Now it crosses the first zero after decimal. The number changes from $0.04$ to $0.4$. This means we have to multiply $\dfrac{1}{10}$. There is one more digit after decimal.
So, $0.04$ becomes \[0.4\times \dfrac{1}{10}\].
Now in the second step the point goes to the rightmost position. The number again changes from $0.4$ to 4. This gives \[4\times \dfrac{1}{{{10}^{2}}}\]. We again multiplied \[{{10}^{-1}}\] for the decimal’s movement.
The final ratio is \[4\times \dfrac{1}{{{10}^{2}}}=\dfrac{4}{100}\]. The fraction is \[\dfrac{4}{100}=\dfrac{1}{25}\].
We now try to find the percentage value of the fraction. We multiply the fraction with 100.
Therefore, \[\dfrac{1}{25}\times 100=\dfrac{100}{25}=4\].
The fraction is \[\dfrac{4}{100}=\dfrac{1}{25}\] and its percentage value is 4.

Note: The value of the fraction is actually the unitary value of 4 out of 100. Therefore, in percentage value we got 4 as the percentage. Percentage deals with the ratio out of 100. The ratio value for both fraction and percentage is the same.