To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}6}{\color{red}5} \quad\rightarrow\quad \dfrac{\color{red}5}{\color{blue}6} \]

So the reciprocal of $\dfrac{6}{5}$ is $\dfrac{5}{6}.$

To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}1}{\color{red}2} \quad\rightarrow\quad \dfrac{\color{red}2}{\color{blue}1} \]

Now, we simplify:

\[ \dfrac{2} 1 = 2 \]

So, the reciprocal of $\dfrac{1}{2}$ is $\bbox[3pt,Gainsboro]{\color{blue}2}.$

To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}2}{\color{red}3} \quad\rightarrow\quad \dfrac{\color{red}3}{\color{blue}2} \]

Now, we convert the resulting fraction to a mixed number:

\[ 3\div 2 = 1\,\textrm{R}\,1=1\,\dfrac 12 \]

So, the reciprocal of $\dfrac{2}{3}$ is $\bbox[3pt,Gainsboro]{\color{blue}1\,\dfrac{1}{2}}.$

To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}4}{\color{red}11} \quad\rightarrow\quad \dfrac{\color{red}11}{\color{blue}4} \]

Now, we convert the resulting fraction to a mixed number:

\[ 11\div 4 = 2\,\textrm{R}3=2\,\dfrac 3 4 \]

So the reciprocal of $\dfrac{4}{11}$ is $2\,\dfrac{3}{4}.$

First, we write $3$ as a fraction:

\[ 3= \dfrac{3} 1 \]

To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}3}{\color{red}1} \quad\rightarrow\quad \dfrac{\color{red}1}{\color{blue}3} \]

So the reciprocal of $3$ is $\dfrac{1}{3}.$

First, we write $11$ as a fraction:

\[ 11= \dfrac{11} 1 \]

To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}11}{\color{red}1} \quad\rightarrow\quad \dfrac{\color{red}1}{\color{blue}11} \]

So, the reciprocal of $11$ is $\bbox[3pt,Gainsboro]{\color{blue}\dfrac{1}{11}}.$

First, we convert the given mixed number to an improper fraction:

\[ 1\,\dfrac{1}{6} = \dfrac{(1\times 6)+1}{6}=\dfrac{7}{6} \]

To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}7}{\color{red}6} \quad\rightarrow\quad \dfrac{\color{red}6}{\color{blue}7} \]

So the reciprocal of $\dfrac{7}{6}$ is $\dfrac{6}{7}.$

First, we convert the given mixed number to an improper fraction:

\[ 4\,\dfrac{2}{5} = \dfrac{(4\times 5)+2}{5}=\dfrac{22}{5} \]

To find the reciprocal of a fraction, we switch the numerator and the denominator:

\[ \dfrac{\color{blue}22}{\color{red}5} \quad\rightarrow\quad \dfrac{\color{red}5}{\color{blue}22} \]

So the reciprocal of $\dfrac{22}{5}$ is $\bbox[3pt,Gainsboro]{\color{blue}\dfrac{5}{22}}.$