Question

What is the reciprocal of \[9/7\]?

Answer 1

Hint:
In the given question, we have been given a fraction. We have to calculate the reciprocal of the given fraction. We can easily solve this question if we know the meaning of the word “reciprocal”. It means that the fraction is inverted. By inverse, it means that the numerator becomes the denominator and the denominator becomes the numerator of the new fraction.

Formula Used:
Let there be a fraction which is represented as \[\dfrac{a}{b}\]. Then the reciprocal of the fraction can be represented as:
\[\dfrac{b}{a}\]

Complete step by step answer:
The given fraction is \[\dfrac{9}{7}\].
The numerator is \[9\] and the denominator is \[7\].
So, the reciprocal is going to have the numerator as \[7\] and the denominator as \[9\].

Hence, the reciprocal is \[\dfrac{7}{9}\].

Additional Information:
Consider there is a fraction \[\dfrac{a}{b}\] , then its reciprocal is \[\dfrac{b}{a}\]. Now, this word reciprocal is sometimes also called multiplicative inverse.
The product of a fraction and its reciprocal is always equal to One, because
\[\dfrac{a}{b} \times \dfrac{b}{a} = \dfrac{{ab}}{{ba}} = 1\]

Note:
So, for solving questions of such type, we first write what has been given to us. Then we write down what we have to find. We saw that this question was really easy. But it is easy only if we know the meaning of the main, pivotal word – reciprocal. So, it is very important that we know the meaning of the terms which are used in the question, without which the question cannot be solved.