Question

Express each of the following integers as a rational number with denominator 7:
 5

Answer 1

Hint: To express the given integer in a rational number we will multiply and divide it by the number given to be our denominator. Firstly multiply and divide 5 by 7 then using multiplication simplify the numerator term and keep the denominator term as it. Finally write the rational number obtained which is our desired answer.

Complete step by step answer:
We have to write the below integer in rational number with denominator 7:
$5$
So multiply and divide the above number by 7 and simplifying we get:
$\begin{align}
  & \Rightarrow 5\times \dfrac{7}{7} \\
 & \Rightarrow \dfrac{5\times 7}{7} \\
 & \Rightarrow \dfrac{35}{7} \\
\end{align}$
So we got the rational number as $\dfrac{35}{7}$ where denominator is 7

Hence integer 5 can be written as $\dfrac{35}{7}$ which is a rational number with denominator 7.

Note: Rational numbers are those numbers which are represented in the form of $\dfrac{p}{q}$ where $q\ne 0$. We can also say that any fraction with a non-zero denominator is known as a rational number. To represent a rational number in a real line we convert it into decimal form. Real numbers, Integers, Whole numbers all can be expressed as rational numbers. In order to get a rational number from an integer we let the denominator as 1 if it is not stated otherwise what should be our denominator. Although in our question it is stated that our denominator should be 7 so we will multiply and divide with it. As we can see by simplifying the rational number obtained we get our integer back that means our solution is correct.