Simplify the following:
1/(6+1/s^2)
Put each term in 6+1/s^2 over the common denominator s^2: 6+1/s^2 = (6 s^2)/s^2+1/s^2:
1/(6 s^2)/s^2+1/s^2
(6 s^2)/s^2+1/s^2 = (6 s^2+1)/s^2:
1/(6 s^2+1)/s^2
Multiply the numerator of 1/((6 s^2+1)/s^2) by the reciprocal of the denominator. 1/((6 s^2+1)/s^2) = (1 s^2)/(6 s^2+1):
Answer: |s^2/(6s^2 + 1)
