* Know the conversion: There are 100 centimeters (cm) in 1 meter (m).

* Set up a ratio: 2 cm is to 100 cm as _x_ is to 1 m (where _x_ is the fraction we're looking for).

* Simplify: 2/100 = _x_/1

* Solve for _x_: _x_ = 2/100 = 1/50

Therefore, 2 centimeters is 1/50 of a meter.