2.5 cms = 1 inch
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1 dm = 10 cmso, (1 dm)2 = (10 cm)2 = 100 cm2
40 cm/2 m = 40cm/200 cm = 40/200 = 1/5 or 0.2
50 cm / 2m = 50 cm / 200 cm = 1/4
Well, isn't that a happy little question! To find out what fraction of two meters is 8 cm, we first need to convert everything to the same unit. Let's convert 2 meters to centimeters, which is 200 cm. Then, we can see that 8 cm is 8/200 or 1/25 of 2 meters. It's just a matter of looking at things in a different way!
Convert the units of both sides to the same, then remove the units and simplify (if possible by dividing both sides by a common divisor greater than 1). eg The Landranger series map scale of 2 cm equals 1 km: 1 m = 100 cm 1 km = 1,000 m → 1 km = 1,000 x 100 cm = 100,000 cm 2 cm : 1 km → 2 cm : 1 x 100,000 cm → 2 cm : 100,000 cm → 2 : 100,000 → 1 : 50,000