Question

How do you convert $0.004\mathrm{\%}$ into a fraction?

Answer 1

Hint: In mathematics, we obtain a percentage when a number or ratio is expressed as a fraction of 100. In everyday life, the percentage is most important in financial aspects. To find the proportion of the amount of a substance to a larger sum of substance, we use the concept of percentage.

Complete step-by-step answer:
 The percentage is represented by the symbol "%". The percentage is converted into fraction form or decimal form by dividing the given percentage by 100 like 1% in fraction form is ${\displaystyle \frac{1}{100}}$ and in decimal form is 0.01. In the given question, we are given a percentage and we have to express it as a ratio so we follow the above-mentioned procedure to get the correct answer.
On dividing $0.004\mathrm{\%}$ by 100, get –
 ${\displaystyle \frac{0.004}{100}}={\displaystyle \frac{4}{100\times 1000}}={\displaystyle \frac{1}{25000}}$
Hence, $0.004\mathrm{\%}$ in fraction is ${\displaystyle \frac{1}{25000}}$ .
So, the correct answer is “ ${\displaystyle \frac{1}{25000}}$ ”.

Note: In statement form, the percentage is written as – “x percent of some amount”. For example, 60 percent of Rs.1800, here Rs.1800 is the whole amount so it is represented by 100%.
The percentage can be calculated by multiplying the given amount/substance with the "percent" divided by 100. In the given example, 60 percent of Rs.1800 is ${\displaystyle \frac{60}{100}}\times 1800=Rs.1080$
The above example can be rewritten as - 60 percent of 1800 or 0.6 times of 1800. Instead of writing $0.004\mathrm{\%}$ in fraction form as ${\displaystyle \frac{4}{100000}}$ , we write its simplified form ${\displaystyle \frac{1}{25000}}$ that is we divide both the numerator and denominator by the common factors till they both don’t have any prime number as their common factor.