Solving a rational equation problem

[rohoburget]

I am trying to solve a rational equation problem and just do not understand how to work these problems. If someone could help me figure this one out step by step and maybe give me some clues on what helps them works these problems.
The problems is: Two times the reciprocal of a number equals 16 times the reciprocal of 20. Find the number. Thanks! Any help would be awesome!

 

[Denis]

Two times the reciprocal of a number equals 16 times the reciprocal of 20.

Let n = the number
Two times the reciprocal of a number = 2(1/n)
16 times the reciprocal of 20 = 16(1/20)

2(1/n) = 16(1/20)
2/n = 16/20

Can you finish it?

 

[rohoburget]

Is the answer 5/2?

 

[Denis]

Substitute your answer in the equation to find out.