6 times the reciprocal of a number equals 2 times the reciprocal of 7. What is the number

6 times the reciprocal of a number equals 2 times the reciprocal of 7. What is the number

We've got two algebraic expressions here. Let's take it in parts:

Term 1:
The phrase a number means an arbitrary variable, let's call it x.
The reciprocal is 1/x
Multiply this by 6: 6/x

Term 2:
Reciprocal of 7: 1/7
2 times this: 2/7

We set these terms equal to each other:
6/x = 2/7

Type this proportion into the search engine, and we get:
x = 21