Tyre width

Hi All,
I am trying to replace some tyres on my daughters scooter which has 16" wheels. I want to replace them with road style ones which will have less rolling resistance. The current ones are 16" x 2.125 does anyone know if I can fit 16" x 1 3/8 tyres on the same rims which are just barely over an inch wide( 26.7mm).
Cheers in advance
I am trying to replace some tyres on my daughters scooter which has 16" wheels. I want to replace them with road style ones which will have less rolling resistance. The current ones are 16" x 2.125 does anyone know if I can fit 16" x 1 3/8 tyres on the same rims which are just barely over an inch wide( 26.7mm).
Cheers in advance
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However... some tyre's manufacturer's interpretation of 16" is different to others. That first fitting may be tricky. I find alcohol helps (for me... not for the rim).
I am aware of the diameters of the rim / tyre it was more whether the rim would be able to take the smaller width tyre as some rims have a minimum width they will accept. The rims on this thing are wider than any of my other bikes which makes me wonder if they will work on such a small width tyre and they are completely unmarked which leaves me with guessing.... So are you saying a rim that will take a 2.125" wide tyre will also work with a 1.375" wide tyre?
Thanks
Sheldon Brown has a table of compatible tyre and rim sizes - scroll down on http://sheldonbrown.com/tyre-sizing.html
This.