Question

How do you simplify $\dfrac{{76}}{3}$?

Answer 1

Hint: Here, we have given the rational number and we have to convert it into a mixed fraction. For a mixed fraction, we have to divide the numerator by denominator and then write it in the form of $x\dfrac{y}{z}$, where x = quotient, y = remainder, and z = denominator.

Formula used: A mixed fraction is a whole number and a proper fraction. To convert an improper fraction to a mixed fraction, follow these steps:
Divide the numerator by denominator.
Write down the whole number answer.
Then write down any remainder above the denominator.

Complete step-by-step solution:
A mixed fraction is the simplest form to express an improper fraction i.e., the fractional number which has a numerator bigger than a denominator.
The improper fraction is $\dfrac{{76}}{3}$. It is an improper fraction since its numerator is greater than its denominator.
Step 1: Divide the numerator by denominator
$ \Rightarrow $ $76 \div 3 = 25$ with a remainder of 1.
Step 2: Write down the whole number answer
$ \Rightarrow 25$
step 3: Then write down any remainder above the denominator
$ \Rightarrow 25\dfrac{1}{3}$

Hence, the mixed fraction of $\dfrac{{76}}{3}$ is $25\dfrac{1}{3}$.

Note: In this problem to find a mixed fraction first we should know what is a proper fraction. A proper fraction is a fraction whose numerator is smaller than its denominator. Divide the numerator with the denominator until you get the remainder less than the denominator.
If we want to convert the mixed fraction $x\dfrac{y}{z}$ into the improper fraction $\dfrac{y}{z}$ we have to multiply z with x and add y the denominator would remain the same and the numerator equals to $z \times x + y$.