Answer:
The reciprocal of [tex]\frac{6}{11}[/tex] is [tex]\frac{11}{6}[/tex].
i.e.
[tex]\frac{1}{\frac{6}{11}}=\frac{11}{6}[/tex]
Step-by-step explanation:
Given the number
Finding the reciprocal of
[tex]\frac{6}{11}[/tex]
To find the reciprocal, divide 1 by the number given
[tex]=\frac{1}{\frac{6}{11}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{1}{\frac{b}{c}}=\frac{c}{b}[/tex]
[tex]=\frac{11}{6}[/tex]
so
[tex]\frac{1}{\frac{6}{11}}=\frac{11}{6}[/tex]
Therefore, the reciprocal of [tex]\frac{6}{11}[/tex] is [tex]\frac{11}{6}[/tex].
i.e.
[tex]\frac{1}{\frac{6}{11}}=\frac{11}{6}[/tex]
