Given that the size of the buttons are:
1/8 inch, 3/8 inch and 1/4 inch
To compare the lengths we first convert the fractions into decimals for easy comparison.
To convert fractions into decimals we divide the numerator by the denominator:
1/8=0.125
3/8=0.375
1/3=0.25
from the above decimals we can see that 0.125 is the smallest and hence we conclude that the smallest button is 1/8 inches. The largest button is 3/8 inches.