Dimensional Analysis

Question

How do you go from 50 kg/m to g/cm?

Answer 1

50kg/m to g/cm
=500g/cm
since 1000g makes 1kg amd 100cm makes 1m
den==50*(1000/100)=500

Answer 2

1 kg = 1000g
1 m = 100 cm

so just replace the old units with the new ones

50 kg/m
= 50000g/100 cm
= 500 g/cm