Question

The Reciprocal of $\dfrac{7}{5}$ is
A. $1\dfrac{2}{5}$
B. $\dfrac{5}{7}$
C. $5\dfrac{2}{3}$
D. $\dfrac{{12}}{5}$

Answer 1

Hint: A reciprocal of a fraction is done by changing the position of numerator and denominator. As we know, reciprocal of a number is defined as the number divided by 1. In this case, you should simply flip the numerator and the denominator.

Complete step-by-step answer:
Now let us study reciprocal meaning. Reciprocal is also called as multiplicative inverse. Reciprocals are used to make the equations easier to solve.
The reciprocal of a fraction is obtained by inverting the fraction i.e. interchanging the numerator and the denominator. In simple words reciprocal means flipping upside down.
If $\dfrac{x}{y}$ is the fraction for which reciprocal is needed then its reciprocal is $\dfrac{y}{x}$
Here we need a reciprocal of $\dfrac{7}{5}$
So, the numerator is 7 and the denominator is 5.
The numerator is stated as 7 and the denominator is 5
Begin by finding the reciprocal of $\dfrac{x}{y}$, the reciprocal is $\dfrac{y}{x}$
So, in $\dfrac{7}{5}$ the numerator is 7 and denominator is 5
On reciprocating, the numerator becomes 5 and denominator becomes 7
So reciprocal of $\dfrac{7}{5}$ is $\dfrac{5}{7}$.

Therefore, option (B) is the correct answer.

Note: Reciprocal can be found by changing the position of the numerator and the denominator. It can be checked by multiplying the two expressions together and ensuring that your answer is 1. It must be done when the first portion numerator is unique in the relation to zero. And also remember that the reciprocal of a negative number must itself be a negative number.