Question

The reciprocal of 15 is _______.
A.14
B.\[\dfrac{{15}}{1}\]
C.\[\dfrac{1}{{15}}\]
D.1

Answer 1

Hint: Here, we will rewrite the given number in the form of a fraction and then we will write the numerator 15 in denominator and denominator 1 in numerator to find the reciprocal of the number to find the required value.

Complete step-by-step answer:
We are given that the number is 15.
Rewriting the given number in the form of a fraction, we get
\[ \Rightarrow \dfrac{{15}}{1}\]
We know that the reciprocal is when the numerator and the denominator are interchanged.
So, here, we will write the numerator 15 in denominator and denominator 1 in numerator to find the reciprocal of the number.
Finding the reciprocal of the given number 15, we get
\[ \Rightarrow \dfrac{1}{{15}}\]
Thus, the reciprocal of 15 is \[\dfrac{1}{{15}}\].
Hence, option C is the correct answer.

Note: In this question, students should know that a square root of a number is a value that, when multiplied by itself, gives the number. We know that a rational number is a number that can expressed as the quotient or fraction of two integers, that is, \[\dfrac{p}{q}\] where \[p\] and \[q\] are integers and \[q\] is not equal to zero. We need to know that the rational numbers are closed under addition, multiplication and division, but not closed under subtraction.