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To answer a question like this, I usually draw a line (representing a fraction bar). everything on top gets multiplied to form a numerator; everything on bottom is multiplied to get a denominator, then cancel units, then divide numerator/denominator to get the converted units.
So 1 m = 100 cm, and 1 min = 60 sec.
Note the vertical bars are for separation but I multiply:
1 cm | 1 m | 60 sec
----------------------------- = (60/100) m / min = 0.6 meters per minute
1 sec | 100 cm | 1 min
The reason this works is because 1 m = 100 cm, divide both sides by 100 cm and you get (1 m) / (100 cm) = 1/1 = 1, so you're just multiplying by 1, which doesn't change your measurement, just how it is expressed.
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How do you convert cm per hour into m per sec?
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How do you convert cm sec - meters hr?
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