Question

How do you write $5$ into an improper fraction?

Answer 1

Hint: Fractions are the numerals which are written in the form of $\dfrac{\text{Numerator}}{\text{Denominator}}$ . Now the improper fractions are the type of fractions in which we will have a greater numerator than denominator. Mathematically we can say that if Numerator $>$ Denominator, then the form $\dfrac{\text{Numerator}}{\text{Denominator}}$ is called as improper fraction. To write the given number in the improper fraction, we need to first list the all the numbers which are less than the given number. Now we will search for the number so that when it is placed in the denominator place, the value of the given number should not be change. After getting the denominator value we will write the given number in the improper fraction.

Complete step by step answer:
Given number $5$.
The numbers which are less than $5$ and greater than $0$ are listed below.
$\left\{ 1,2,3,4 \right\}$
Assuming the number $1$ in the denominator and taking $5$ in the numerator, then the fraction can be $\dfrac{5}{1}$.
Checking the value of the above fraction. We know that when we divide a number with $1$, then we will get the same number as the quotient or result. Hence
$\dfrac{5}{1}=5$.
From the above equation we can say that the value of the fraction $\dfrac{5}{1}$ is equal to the given number or value. i.e., there is no change in the value and we can observe that the numerator is greater than the denominator in the fraction.

Hence the required improper fraction is $\dfrac{5}{1}$.

Note: In the problem we have not considered the number $0$ in the list of numbers which are less than the given number. Since when we divide any number with $0$, then we will get infinity. So, we don’t consider the zero in fractions.