Question

How do you write \[\dfrac{{31}}{8}\] as a mixed number?

Answer 1

Hint: Given fraction is an improper fraction. We know that mixed fraction is of the form \[{\text{a}}\dfrac{{\text{b}}}{{\text{c}}}\] . Here in order to convert the given fraction in mixed form we will divide the numerator by denominator and write it as \[{\text{a}}\dfrac{{\text{b}}}{{\text{c}}}{\text{ = quotient}}\dfrac{{{\text{reminder}}}}{{{\text{divisor}}}}\]. This form is the mixed form of the given fraction.

Complete step-by-step answer:
We know the mixed fraction or number is a combination of whole number and a fraction. Here we converted an improper fraction into a mixed fraction. They are used when we are about to write a whole part and fraction part together. Divisor is the number with the help of which we divide the number given. Here denominator is playing that role of dividing the number.
Given that \[\dfrac{{31}}{8}\] is a fraction.
Now when we divide 31 by 8 we get 3 as quotient as 7 as reminder. So
Quotient = 3, reminder = 7 and divisor is 8. So the mixed fraction form is
\[ \Rightarrow \dfrac{{31}}{8}{\text{ = quotient}}\dfrac{{{\text{reminder}}}}{{{\text{divisor}}}} = 3\dfrac{7}{8}\].
\[ \Rightarrow \dfrac{{31}}{8} = 3\dfrac{7}{8}\]
This is our answer.
So, the correct answer is “$3\dfrac{7}{8}$”.

Note: Note that we cannot convert proper fractions into mixed fractions because in a proper fraction the denominator is already greater than the numerator. Sometimes if we face a multiple choice question in which we are asked which of the following cannot be converted into mixed then the proper fraction from the option will be our correct answer.