Question

How do you convert $\dfrac{3}{{20}}$ into a decimal and percent?

Answer 1

Hint: So 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. And for decimal, we will just divide the numerator by denominator.

Formula used:
When the number is given in fraction, then
$fraction \times 100\% $
Here, the fraction will be like $\dfrac{6}{{20}},\dfrac{5}{{20}},\dfrac{4}{{20}},\dfrac{3}{{20}},....$

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{3}{{20}} = 0.15$
So, in decimal, it will be equal to $0.15$
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 0.15 \times 100$
And on solving the multiplication, we will get the value as
$ \Rightarrow 15\% $
Hence, $\dfrac{3}{{20}}$ as a percent will be equal to $ \Rightarrow 15\% $

Note: There is one more formula for finding the percentage and in this, we just need \[\]do the cross multiplication, and on solving it we will get the result. The formula will be
\[\dfrac{{Numerator{\text{ }}of{\text{ }}fraction}}{{denominator}} = \dfrac{{percent}}{{100}}\]
And by substituting the values, we will get the equation as
$ \Rightarrow \dfrac{3}{{20}} = \dfrac{{percent}}{{100}}$
By performing the cross multiplication, the above equation can be written as
$ \Rightarrow 3 \times 100 = percent \times 20$
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{3}{{20}} \times 100$
And making the fraction into the simplest form, we get
$15\% $
Hence, in this way also we can solve this question. Although both are almost the same, yes here we had done the solution directly.