Question

How do you write the reciprocal number of \[\dfrac{7}{2}\]?

Answer 1

Hint: Here we will use the definition of the reciprocal of a number. We will divide 1 by the given fraction and simplify it further to get the required answer. A fraction is divided into two parts: the top number is known as the numerator and the bottom number is known as the denominator.

Complete step-by-step answer:
The number whose reciprocal is to be written is \[\dfrac{7}{2}\].
As we know, reciprocal of a number is written by changing the places of the numerator and denominator.
To do so, we will divide 1 by that number or simply just swap over the numerator and denominator.
By dividing 1 by \[\dfrac{7}{2}\], we get
\[1 \div \dfrac{7}{2} = \dfrac{1}{{\dfrac{7}{2}}}\]
Taking 2 to the numerator and simplifying further, we get
\[\begin{array}{l} \Rightarrow 1 \div \dfrac{7}{2} = \dfrac{{1 \times 2}}{7}\\ \Rightarrow 1 \div \dfrac{7}{2} = \dfrac{2}{7}\end{array}\]

So, we get the reciprocal of \[\dfrac{7}{2}\] as \[\dfrac{2}{7}\].

Note:
To get the reciprocal we just flip the fraction or turn it upside down. When we multiply the fraction with its reciprocal we get the value 1 always. To find the reciprocal of a mixed fraction we first convert it into an Improper fraction and then turn it upside down. To find the reciprocal of a decimal number we first remove the decimal sign and convert it in a fraction form and then use one of the methods to find its reciprocal. The reciprocal is also known as multiplicative inverse which means the inverse of a number. We can find reciprocal of any number except 0 because the reciprocal of 0 is undefined.