Question

How do you express $19\%$ as a fraction in its lowest form?

Answer 1

The concept of percentage is important as we use percentage very frequently in the financial aspects of everyday life, it is used to find the proportion of the amount of a substance to a larger sum of substance and is represented by the symbol "%". For calculating the percentage, we express a number or ratio as a fraction of 100, thus we follow the inverse process to convert percentage into a number. The percentage can be converted into fraction form by dividing the given percentage by 100, like 1% in fraction form is $\dfrac{1}{{100}}$ , this fraction can be further converted into decimal form as 0.01. We can express the given percentage as a ratio by following the above steps, this way we can get the correct answer.

Complete step by step answer:
We have to convert $19\%$ into fraction; it is done as follows –

On dividing $19\%$ by 100, get – $\dfrac{{19}}{{100}}$

Hence, $19\%$ in the lowest form of the fraction is $\dfrac{{19}}{{100}}$ .

Note: For converting a fraction into the simplified form, we find the common factor of the numerator and denominator of the fraction by their prime factorization and then divide both of them by this common factor until the numerator and denominator do not have any common factor. In the above solution, 19 is a prime factor, so the fraction cannot be simplified further. The obtained fraction can be written in decimal form as 0.19. In statement form, the percentage is written as – “x percent of some amount”.