Question

How do you write $\dfrac{{27}}{4}$ as a mixed number?

Answer 1

Hint: Here we must know what the difference between mixed fraction and simple fraction means. Whenever we have the numerator greater than the denominator in the fraction, then we can write it in the form of mixed fraction. Here we have to convert it into the form where we have the proper fraction and a complete number.

Complete step-by-step answer:
Here we are given the fraction which is $\dfrac{{27}}{4}$ and we need to write it in the form of a mixed number. So we must know what the mixed number is. Here in the mixed number we need to have a complete number and the proper fraction. Proper fraction means the fraction where numerator is less than the denominator. Let us make it clear with one example:
If we have the fraction $\dfrac{{10}}{3}$ so we know that when we divide the number $10{\text{ by 3}}$ we will not get the proper natural number. So we will see the number that we will see the number less than $10$ that is completely divisible by $3$ and we know it is $9$
Now we will see the number that $9$ is divisible by $3$ and we will get the result $3$
So we will write it as the complete number and then we will see that the number $10$ is greater than $9$ by $1$
So $\dfrac{1}{3}$ will become the proper fraction.
Hence we will write it in the form of $3\dfrac{1}{3}$
Similarly we have the fraction $\dfrac{{27}}{4}$
So we will see the number that we will see the number less than $27$ that is completely divisible by $4$ and we know it is $24$
Now we will see the number that $24$ is divisible by $4$ and we will get the result $6$
So we will write it as the complete number and then we will see that the number $27$ is greater than $24$ by $3$
So $\dfrac{3}{4}$ will become the proper fraction.
Hence we will write it in the form of $6\dfrac{3}{4}$.

Note: Here In these types of problems, the student must focus at the point that if we have the mixed fraction $a\dfrac{b}{c}$ then it can be written as the fraction $\dfrac{{ac + b}}{c}$