So 5.67 inches is 14.408 cm
The explanation takes a lot longer than the actual calculation.
If you are ever not sure what to do with conversion use ratio. Also look at the way the units of measurements are written in the conversion. That gives you a clue about what you need to do.
##color(blue)(Building the reference ratio)##
Known: ##25.4 mm = 1 inch##
So there are 25.4 mm ##ul(per)## inch ##->(25.4 mm)/(1 inch)##
This gives the ratio.
But 25.5 mm ##->##2.54 cm giving:
##(25.4 mm)/(1 inch) -= (2.54 cm)/(1 inch)##
‘~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
##color(blue)(Converting the reference ratio so that it gives the answer)##
We need to know what the values in the ratio are if we change the inches from 1 to 5.67.
Multiply by 1 and you do not change the value but 1 comes in many forms.
Multiply by 1 but in the form of ##color(magenta)(1=5.67/5.67)##
##color(white)(.)##
##color(green)((2.54 cm)/(1 inch)xxcolor(magenta)(1) = (2.54 cm)/(1 inch)xxcolor(magenta)(5.67/5.67))##
##=(14.4018 cm)/(5.67 inches)##
So 5.67 inches is 14.408 cm