Question

Eight times the reciprocal of a number equals 4 times the reciprocal of 6. Find the number

Answer 1

Let the # be n.  Then the recip. of the # is (1/n).

Then 8(1/n) = 4(1/6).  Mult both sides by 6n to elim. fractions:

48 = 4n, and so n = 12.