A number is reciprocal when the multiplication of these two numbers results in 1.
For example, let's find the reciprocal of 6, to find it we must think, which number multiplies 6 and results in 1?
The answer is 1/6, that's the only number that multiplies 6 and the result is 1.
Using that logic, we have simple ways to find the reciprocal of a number.
First step - Write the number as a fraction
Before we find the reciprocal, we write ou number as a fraction, let's use 8 now. How do we write 8 as a fraction?
Simple! we just put 1 as the denominator:
[tex]8=\frac{8}{1}[/tex]Second step - Flip the fraction
Now we have the number in the fraction notation we just flip it to find the reciprocal.
[tex]\frac{8}{1}\xrightarrow{\text{flip}}\frac{1}{8}[/tex]The flipped fraction is the reciprocal
Therefore, what's the reciprocal of 8? 1/8
Now, let's solve the problem, in fact, we want to find the reciprocal of
[tex]\frac{1}{11}[/tex]As we can see it's already in the fraction notation, then, let's just flip the fraction
[tex]\frac{1}{11}\rightarrow\frac{11}{1}[/tex]When we flip it we get 11/1, which is basically 11. Therefore, the reciprocal of 1/11 is 11.
