Question

How do you convert $\dfrac{1}{6}$ into a percent and decimal?

Answer 1

Hint:
For converting the number or fraction into the percentage we first need to divide the numerator by the denominator and then by multiplying the number with $100$ we will get the result which will be the percentage of the given number.

Formula used:
When the number is given in fraction, then
$Fraction \times 100\% $
Here, the fraction will be like $\dfrac{1}{2},\dfrac{2}{5}..$ .

Complete Step by Step Solution:
So we will start by converting the fraction into a decimal and for this, we will divide the numerator by the denominator, so on applying the above steps we get
$ \Rightarrow \dfrac{1}{6} = 0.166$
Now for getting the percentage we will multiply the decimal by $100$ and then we will write the result,
So on doing the above step, mathematically it can be written as
$ \Rightarrow 0.1666 \times 100$
And on solving the multiplication, we will get the value as
$ \Rightarrow 16.66\% $

Hence, $\dfrac{1}{6}$ as a percent will be equal to $16.66\% $.

Note:
There is one more formula for finding the percentage and in this, we just need to do the cross multiplication, and on solving it we will get the result. The formula will be $\dfrac{{Top{\text{ of fraction}}}}{{Bottom{\text{ of fraction}}}} = \dfrac{{Percent}}{{100}}$ .
And by substituting the values, we will get the equation as
 $ \Rightarrow \dfrac{1}{6} = \dfrac{{Percent}}{{100}}$
By performing the cross multiplication, the above equation can be written as
$ \Rightarrow 1 \times 100 = Percent \times 6$
Now by taking the constant term to the one side of the equation and solving it we will get the equation as
$ \Rightarrow Percent = \dfrac{1}{6} \times 100$
And making the fraction into the simplest form, we get
$ \Rightarrow 16.66\% $
Hence, in this way also we can solve this question. Although both are almost the same, yes here we had done the solution directly.