Question

find the reciprocals of the numbers below.
the reciprocal of \\(\frac{2}{7}\\) is \\(square\\).
the reciprocal of 3 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 $\frac{2}{7}$

For $\frac{2}{7}$, using the reciprocal definition, swap numerator and denominator. So reciprocal is $\frac{7}{2}$.

Step3: Find reciprocal of 3

3 can be written as $\frac{3}{1}$, so its reciprocal is $\frac{1}{3}$.

Answer:

The reciprocal of $\frac{2}{7}$ is $\frac{7}{2}$.
The reciprocal of 3 is $\frac{1}{3}$.