Question

How do you convert $\dfrac{6}{{13}}$ into a decimal and percentage?

Answer 1

Hint: To convert it into a percentage, we need to multiply with $100$ to get a solution. It’s common for every problem. It is easy to convert a fraction into percentage, but in the case of decimal value, we need first convert it into percentage form and then we have to convert it into percentage.

Complete step by step answer:
Let us consider the question,
$ \Rightarrow \dfrac{6}{{13}} = 0.4615$
This is our required decimal value.

And now to find the percentage, multiply it with $100$ we get,
$
\Rightarrow \dfrac{6}{{13}} \times 100 \\
\Rightarrow \dfrac{{600}}{{13}}\% \\
 $
This is our required solution.

Additional information: Let consider a problem, convert $0.786$ in to percentage and now change this into fraction, we get $\dfrac{{786}}{{1000}}$, to convert it into percentage we have to multiply it with $100$ we get $56.3\% $. This is our required answer. This is just another model which seems to be confusing and there are three different models in this topic. If you find time, go through all those problems.

Note: Here in the percentage topic if the denominator value is very much greater than the numerator, the percentage value will be very small. Here in the given problem, it is $2\% $ which is very small, when compared to the denominator value 50. If the denominator value is nearly greater than when compared to the numerator, then the percentage value will be large. Let’s consider the fraction $\dfrac{1}{2}$, if we consider the percentage, we get the value 50%. This is the main view in the percentage topic. Percentage is also compared with the ratio. Many topics like Mixture and alligation, Profit and loss, etc.., use this ratio method to solve many problems.