Six times the reciprocal of a number equals two time the reciprocal of 8

x=24

Step-by-step explanation:

1) Rewrite the problem as an equation:

6 (1/x) = 2 (1/8)

2) Multiply 6 by 1/x:

6/x=2 (1/8)

3) Multiply 2 by 1/8:

6/x=2/8

4) Simplify 2/8:

6/x=1/4

5) Multiply everything by x:

6 = (1/4) x

6) Multiply everything by the reciprocal of 1/4: (4)

x=24