Question

How do you write \[\dfrac{8}{5}\] as a mixed fraction?

Answer 1

Hint: In this question, we will use the concept of the mixed fraction. In this, we will split the numerator such that the sum of the numbers is equal to the numerator value while one of the numbers should be divisible by the denominator value.

Complete step by step answer:
First, we will discuss the mixed fraction and the improper fraction.
Split mixed fraction: the fraction which has a whole number and a fraction. The whole number and a fraction are writing together.
Let’s take an example. $a$ is the whole number and \[\dfrac{b}{c}\] is the fraction number then the split mixed fraction is written as \[a\dfrac{b}{c}\].
Improper fraction: the fraction which has the value in the numerator is greater than the value in the denominator is known as an improper fraction.
Let’s take an example. a is the value of numerator and b is the value of denominator, and a is greater than b. then the improper fraction is written as.
\[ \Rightarrow \dfrac{a}{b}\left( {where\;a > b} \right)\]
In this question, we have given the fraction as \[\dfrac{8}{5}\] and we need to convert it into a mixed fraction.
First we will split the numerator $8$ into two parts such that one part is divisible by the denominator $5$. So, it can be written as,
\[ \Rightarrow \dfrac{8}{5} = \dfrac{{5 + 3}}{5}\]
Now, we will divide the split number separately as,
\[ \Rightarrow \dfrac{{5 + 3}}{5} = \dfrac{5}{5} + \dfrac{3}{5}\]
As we know that $5$ divided by $5$ is $1$, so
\[ \Rightarrow \dfrac{5}{5} + \dfrac{3}{5} = 1 + \dfrac{3}{5}\]
Further solving, we will get the mixed fraction as,
\[\therefore 1 + \dfrac{3}{5} = 1\dfrac{3}{5}\]
In this mixed fraction, we get the \[1\] is the whole number and the \[3\] is the remainder and \[5\] as the divider. Thus, fraction and whole number combined to form the mixed number.

Therefore, the mixed fraction of the given term \[\dfrac{8}{5}\] is \[1\dfrac{3}{5}\].

Note: A mixed number contains a fraction with the whole number. Here the given term can be divided by taking the point. After that, a point value will be received means that it’s not a mixed number. So, divide the number until it has a remainder.