Question

How do you write $$.31\mathrm{\%}$$ as a decimal?

Answer 1

Hint: Percentage means is a number or ratio that represents a fraction of 100. It is denoted by the symbol “$$\mathrm{\%}$$”. To convert from percent to decimal, we need to divide percent by 100 and remove the percent sign. In the question the percent is also in decimal so we convert it into fraction and then convert it into decimal.

Complete step by step answer:
According to the given question, we are provided with a percent which we have to convert into a decimal number. Here, we are given percent $$.31\mathrm{\%}$$ which can also be written as $$0.31\mathrm{\%}$$.
To convert a percent into decimal numbers by dividing the percent with 100. If the percent is a decimal then we convert the decimal percent to fraction percent and then we convert it into decimal number.
Since the given percent is in decimal, we convert it into fraction percent.
$$\Rightarrow 0.31\mathrm{\%}={\displaystyle \frac{31}{100}}\mathrm{\%}$$
We can write percent into fraction by dividing it with 100.
$$\Rightarrow {\displaystyle \frac{31}{100}}\mathrm{\%}={\displaystyle \frac{31}{100\times 100}}={\displaystyle \frac{31}{10000}}$$
Since the denominator is multiples of 10, we can convert easily by dividing numerator with denominator. Then, we get
$$\Rightarrow$$$${\displaystyle \frac{31}{10000}}=0.0031$$
$$\therefore 0.0031$$ is the decimal form of $$.31\mathrm{\%}$$.

Note:
We can do the conversion of a fractional number into decimal by simply dividing the numerator of the fraction form with the denominator. We can also do the conversion of a fraction into percent by multiplying it by 100 and then simple division. While calculating decimal form we must round the decimal part if needed.
We should remember to remove the percent sign “$$\mathrm{\%}$$” after converting it into decimal. We can convert a fraction into decimal easily by simply counting the number of zeroes(n) in the denominator and then keep the decimal point in the numerator n places to the left.