Question

How do you convert $\dfrac{25}{3}$ as a mixed fraction?

Answer 1

Hint: We will first recall the definition of mixed fraction and improper fraction and we will first use the definition to convert the given improper fraction into mixed fraction. We know that $\dfrac{25}{3}$ is an improper fraction so we will divide the numerator by denominator and find the quotient and remainder. The quotient will be our whole number part and remainder will be the numerator of the fractional part of mixed fraction and divisor will be our denominator.

Complete step-by-step solution:
We will first understand the definition of improper and mixed fraction.
An improper fraction is a fraction which has a numerator greater than denominator and improper fraction can be expressed as a mixed fraction always.
A mixed fraction is a fraction which consists of a whole number and a fraction part together. Let $a\dfrac{b}{c}$ be a mixed fraction, then ‘a’ will be the whole number and $\dfrac{b}{c}$ will be the fractional part.
We can also write mixed fraction $a\dfrac{b}{c}=a+\dfrac{b}{c}=\dfrac{ac+b}{c}$
So, from the question we have fraction $\dfrac{25}{3}$ which is to be converted into mixed fraction.
The fraction $\dfrac{25}{3}$ is an improper fraction as 25 is greater than 3.
So, after dividing 25 by 3 we will get 8 as quotient and 1 as a remainder.
$3\overset{8}{\overline{\left){25}\right.}}$
Thus, we can say that 8 will be our whole number part of mixed fraction and 1 will be our numerator of the fractional part and the divisor 3 will be our denominator of the fractional part.
So, we can say that $\dfrac{25}{3}=8\dfrac{1}{3}$.
So, the mixed fraction part of the $\dfrac{25}{3}$ is $8\dfrac{1}{3}$.
This is our required solution.

Note: Students are required to note that when we have improper fraction then we first divide the numerator by denominator and then find the divisor, quotient and remainder. The quotient will be the whole part and remainder will be our numerator of the fractional part.