39/69 = 13/23 is in simplest form
First you do 39 divide by 3 = 13 and do 69 divid by 3 = 23
Step-by-step explanation:
Given that,
The diameter of the merry-go-round, d = 14 feet
Time taken, t = 6 seconds
Radius, r = 7 feet
The linear speed of the merry-go-round is given by :

Also,

Where
is the angular speed
So,

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.
87.6x.14= 12.264.
12.264 rounded to the nearest hundredth is 12.26