Question

How do you write $6$ percent as a decimal?

Answer 1

Hint:First convert the percentage into fractional form and then write the decimal form after converting the fractional form into decimal.
We can convert percent $x\mathrm{\%}$ into fraction form by dividing the percent with $100$ that is written as
$x\mathrm{\%}={\displaystyle \frac{x}{100}}$

Complete step by step solution:
For writing $6$ percent into decimal form we need to first convert it into fractional form,
Converting $6\mathrm{\%}$ in fraction as follows
$6\mathrm{\%}=6÷100={\displaystyle \frac{6}{100}}$
So we got the fractional form of $6$ percent which is equal to ${\displaystyle \frac{6}{100}}$
Now for writing it into decimal form we need to perform division of $6$ with $100$
But hold a second, maybe we do not have to perform that long division as we know that when the denominator of a fraction is in powers of $10$ then for converting that fraction into decimal number we just need to put a decimal in the numerator in such a manner that the decimal should be placed $n$ digits before from the right of the numerator, where $n$ is the number of $0^{\prime }s$ the denominator has.
So here we have the value of $n$ equals to $2$, as the denominator of ${\displaystyle \frac{6}{100}}$ has only two $0^{\prime }s$
So writing the fraction ${\displaystyle \frac{6}{100}}$ in decimal numbers as
${\displaystyle \frac{6}{100}}=0.06$

Therefore we got the required value of $6$ percent as a decimal, which equals $=0.06$

Note: Take care that if numerator has less digits than the number of $0^{\prime }s$ the denominator has, then add the required number of $0^{\prime }s$ before the numerator and then place the decimal point. For writing decimal or fraction in percent form we just need to multiply them by $100$