Final answer:
The ratio of 0.3 km to 500 m expressed as a fraction in simplest form is 3/5 after converting 0.3 km to meters and simplifying the resulting fraction.
Step-by-step explanation:
To express the ratio of 0.3 km to 500 m as a fraction in simplest form, we need to ensure that both quantities are in the same unit. We can either convert 0.3 km to meters or 500 m to kilometers. It's more straightforward to convert kilometers to meters. Since there are 1000 meters in 1 kilometer, we convert 0.3 km to meters by multiplying 0.3 by 1000.
0.3 km = 0.3 × 1000 m = 300 m
Now we have the ratio 300 m to 500 m, which can also be written as:
300 m / 500 m
To simplify this ratio as a fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 100. This gives us:
300 / 100 / (500 / 100) = 3 / 5
So, the ratio in simplest form is 3/5.