Question

How do you write $\dfrac{44}{14}$ as a mixed fraction?

Answer 1

Hint: In this question we have been given with an improper fraction which we have to convert into the form of mixed fraction. A mixed fraction has two parts to it. A whole number and a fraction part. We will convert the given improper fraction to mixed fraction by first dividing the numerator with the denominator to find the quotient and remainder. The quotient will be the whole number part and the remainder part will be the numerator of the fraction part with the denominator as it is.

Complete step by step solution:
We have the improper fraction given to us as:
$\Rightarrow \dfrac{44}{14}$
Since we have to convert the improper fraction to mixed fraction, we will divide the numerator with the denominator. We get:
$14\overset{3}{\overline{\left){\begin{align}
  & 44 \\
 & \underline{42} \\
 & \text{ 2} \\
\end{align}}\right.}}$
Therefore, we have the quotient as $3$ and the remainder as $2$. Now the whole number part is the quotient. And the numerator of the fraction part is the remainder.
The denominator of the fraction part will be the same as the denominator of the improper fraction.
Therefore, we get the mixed fraction as:
$\Rightarrow 3\dfrac{2}{14}$
Now the fraction part can be reduced and written as:
$\Rightarrow 3\dfrac{1}{7}$

Therefore, the mixed fraction of $\dfrac{44}{14}=3\dfrac{1}{7}$, which is the required solution.

Note: In the given question we have been given with an improper fraction. An improper fraction is a fraction which has the numerator greater than the denominator and likewise a proper fraction is a fraction whose numerator is lesser than the denominator, the third type is the mixed fraction which is a combination of a whole number and a fraction.