10 tooth gear on the left meshed with a 60 tooth gear on the right, then the gear ratio is 1:6.
1 turn of the 10 tooth gear = 6 turns of the other gear.
But in physics, and science you can't get anything free, so the 60 tooth gears torque has 6 times LESS torque than the 10 tooth gear.
Now if you had a 60 tooth gear on the left, meshed with a 10 gear on the right, then the gear ratio is 6:1!
6 turns of the 10 tooth gear = 1 turn of the 60 tooth gear.
The 60 tooth gear has 6 times as much torque, but 6 times LESS speed.
To sum it up in an easy to remember sentience:
1 turn of the big gear = 1/2 a turn of the little gear.
Hope this helps!
