Question

find the reciprocals of the numbers below.
the reciprocal of 2 is 〇.
the reciprocal of \\(dfrac{12}{11}\\) is 〇.

Explanation:

Step1: Recall reciprocal definition

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

Step2: Find reciprocal of 2

For \( n = 2 \), using the reciprocal definition, the reciprocal is \( \frac{1}{2} \).

Step3: Find reciprocal of \( \frac{12}{11} \)

For the fraction \( \frac{12}{11} \), swap the numerator and the denominator. So the reciprocal is \( \frac{11}{12} \).

Answer:

The reciprocal of 2 is \( \frac{1}{2} \).
The reciprocal of \( \frac{12}{11} \) is \( \frac{11}{12} \).