To express 8 dm to 3.2 m as a fraction in simplest form, we need to convert either the decimeters to meters or the meters to decimeters so that both quantities are in the same unit.
Since there are 10 decimeters in 1 meter, we can convert 8 dm to meters by dividing it by 10:
8 dm ÷ 10 = 0.8 m
Now, we have the ratio 0.8 m to 3.2 m.
To express this ratio as a fraction, we can write it as:
0.8/3.2
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 0.8 and 3.2 is 0.8.
Dividing both numerator and denominator by 0.8, we get:
0.8/0.8 ÷ 3.2/0.8 = 1/4
Therefore, the ratio 8 dm to 3.2 m can be expressed as the fraction 1/4 in simplest form.