Question

What is $2\dfrac{1}{6}$ as an improper fraction?

Answer 1

Hint: For solving this question you should know about the mixed number. The mixed number is a combination of a whole number and a fractional number. We can calculate the mixed number by dividing any digit and write that as fractional and whole number form. And if we want to get the original fraction again, then multiply the denominator with the whole number and add the numerator of this fraction, which will give a new fraction. And this will be the answer. And this is known as an improper fraction.

Complete step-by-step solution:
According to our question it is asked of us to find the whole fraction which is given as $2\dfrac{1}{6}$ as a mixed number. For calculating the whole fraction or mixed fraction by any fraction we use just simple calculations of multiplication, division and addition. If we want to calculate the whole fraction, then we have to multiply our denominator with the whole fraction and then add the numerator to it. And the denominator will be the same. If we take an example: $8\dfrac{4}{5}$ and we have to calculate the whole fraction or whole number in fractional form, then,
$\Rightarrow 8\dfrac{4}{5}=\dfrac{8\times 5+4}{5}=\dfrac{44}{5}$
So, the whole number $8\dfrac{4}{5}$ in fractional form is $\dfrac{44}{5}$. And if we have to calculate the fractional form of any whole number, then we have to divide that as, $\dfrac{44}{5}$,
$\Rightarrow 5\overset{8}{\overline{\left){\begin{align}
  & 44 \\
 & \underline{40} \\
 & \text{ }4 \\
\end{align}}\right.}}$
Then we can write it as a form of fraction and the whole number is $8\dfrac{4}{5}$.
So, as in our question the number is $2\dfrac{1}{6}$, so the improper fraction would be,
$\dfrac{2\times 6+1}{6}=\dfrac{13}{6}$
So, the improper form of $2\dfrac{1}{6}$ is $\dfrac{13}{6}$.

Note: As we can see we can calculate the fractional form and the whole number by these simple steps, but we should be careful about the steps of division and multiplication. We have to make sure that we are multiplying our denominator to the whole number and not the numerator and in the other, we have to be sure that we are putting all the values in the correct place for the fraction.