Question

find the reciprocals of the numbers below.
the reciprocal of \\(dfrac{1}{9}\\) is \\(square\\).
the reciprocal of 4 is \\(square\\).

Explanation:

Step1: Recall reciprocal definition

The reciprocal of a fraction $\frac{a}{b}$ (where $a
eq0, b
eq0$) is $\frac{b}{a}$, and the reciprocal of an integer $n$ (where $n
eq0$) is $\frac{1}{n}$.

Step2: Find reciprocal of $\frac{1}{9}$

For $\frac{1}{9}$, using the reciprocal definition, swap numerator and denominator. So reciprocal is $\frac{9}{1}=9$.

Step3: Find reciprocal of $4$

For integer $4$, write it as $\frac{4}{1}$, then swap numerator and denominator. Reciprocal is $\frac{1}{4}$.

Answer:

The reciprocal of $\frac{1}{9}$ is $9$.
The reciprocal of $4$ is $\frac{1}{4}$.