we are given
9 centimeters = 1 meter
we know that
[tex] 1m=100cm [/tex]
or
[tex] 100cm=1m [/tex]
now, we can divide both sides by 100
[tex] 1cm=\frac{1}{100} m [/tex]
for 9cm
we get
[tex] 9*1cm=9*\frac{1}{100} m [/tex]
[tex] 9cm=\frac{9}{100} m [/tex]
so, the scale factor is
[tex] =\frac{9}{100} [/tex]..............Answer