Question

How do you change $\dfrac{32}{5}$ to a mixed number?

Answer 1

Hint: To solve this particular problem we need to understand about the improper fraction, this could be understood as total number of parts, in this problem firstly we need to divide the given numerator and denominator, after that the resultant value is the whole by which the number that is numerator could be divided the whole, we represent the given fraction in mixed fraction as \[a\dfrac{b}{c}\] where the mixed fraction will be of the form \[\dfrac{\left( a\times c \right)+b}{c}\].

Complete step by step solution:
An Improper fraction is a fraction whose numerator is equal to, larger than, or of equal or higher degree than the denominator. Whereas a mixed fraction is a whole number and a fraction combined into one "mixed" number. The conversion of an improper fraction to a mixed fraction is carried as follows,
We know,
$32=(6\times 5)+2$
So, the given fraction can be written as follows,
$\dfrac{32}{5}=\dfrac{\left( 6\times 5 \right)+2}{5}$
Lets convert the above fraction from \[\dfrac{\left( a\times c \right)+b}{c}\] to \[a\dfrac{b}{c}\]
Here, a = 6, b = 2 and c = 5
\[\Rightarrow \] $6\dfrac{2}{5}$
This tells us that the mixed fraction of a given fraction $\dfrac{32}{5}$ is equal to $6\dfrac{2}{5}$.

Note: To solve this particular problem we need to know the basics about rational numbers and mixed numbers and also about the division, one can go wrong in determining the left out part and may be confused in that part, one must be very careful while determining the left out part in the problem.