Question

How do you convert $ \dfrac{3}{{50}} $ to decimal and percentage?

Answer 1

Hint: In mathematics, when a number or ratio is expressed as a fraction of 100, we get a percentage. The percentage is most important in financial aspects in everyday life so it’s important to know how to convert fractions into percentages and vice-versa. We use the concept of the percentage to find the proportion of the amount of a substance to a larger sum of substance. The percentage is represented by the symbol "%".

Complete step-by-step answer:
A fraction is converted into decimal form by expressing the denominator of the fraction as a power of 10. The fraction can be converted into a percentage by multiplying the given fraction by 100 like the fraction $ \dfrac{1}{{100}} $ in percentage form is 1% and in decimal form is 0.01. In the given question, we are given a fraction and we have to express it in decimal and percentage form so we follow the above-mentioned procedure to get the correct answer.
We are given a fraction $ \dfrac{3}{{50}} $
On multiplying 50 with 2, we get 100, so we multiply both the numerator and the denominator of the fraction by 2 –
 $ \dfrac{3}{{50}} \times \dfrac{2}{2} = \dfrac{6}{{100}} = 0.06 $
Thus, the decimal form of $ \dfrac{3}{{50}} $ is $ 0.06 $ .
On multiplying $ \dfrac{3}{{50}} $ by 100, get –
 $ \dfrac{3}{{50}} \times 100 = 6\% $
Hence, $ \dfrac{3}{{50}} $ in decimal form is $ 0.06 $ and in fraction form is $ 6\% $ .
So, the correct answer is “ $ \dfrac{3}{{50}} $ in decimal form is $ 0.06 $ and in fraction form is $ 6\% $ ”.

Note: A fraction is divided into two parts by a horizontal line, the upper part is called the numerator and the part below the horizontal line is called the denominator. We can convert a fraction into decimal form by simply dividing the numerator by the denominator if the denominator cannot be converted into 100.