Question

What is $\dfrac{13}{22}$ as a decimal?

Answer 1

Hint: We need to convert a fraction into its decimal counterpart. For that, we need to have some basic knowledge in operating basic mathematics operators, that are, addition, subtraction, division and multiplication. Then, we can divide the numerator from the denominator and thus get our required solution to the problem.

Complete step-by-step solution:
Whenever converting any fraction into its decimal counterpart, we should at first make sure, the fraction has been converted into a proper or an improper fraction, that is, if we have been given a mixed fraction, we would need to convert it into an improper fraction.
Here, the fraction given to us is $\dfrac{13}{22}$. This fraction is already in the form of a proper fraction, so we do not need to simplify it any further.
Thus, to convert $\dfrac{13}{22}$ into a decimal, we will divide the numerator of the fraction $\left( 13 \right)$ by the denominator of the fraction $\left( 22 \right)$. On doing so, we get:
$\begin{align}
  & \Rightarrow \dfrac{13}{22}=13\div 22 \\
 & \therefore \dfrac{13}{22}=0.59090909\overline{09} \\
\end{align}$
Thus, approximating the above result up to the fourth place after decimal, we get the new result as follows:
$\Rightarrow \dfrac{13}{22}=0.5909$
Hence, $\dfrac{13}{22}$ as a decimal is equal to $0.5909$.

Note: Whenever converting a fraction into a decimal, if the resultant decimal quantity is an infinite sequence of numbers, then the quantity is said to be irrational and thus we need to approximate its value up to a certain digit after the decimal. If nothing is mentioned in the question, the standard notation is to write the value approximated up to the fourth place after the decimal.