Final answer:
To simplify the ratio 120m to 2km, convert the measurements to the same unit and then divide by their greatest common factor to get the simplest form. The simplest form of the ratio 120m to 2km is 3m to 50m. To simplify the ratio $4.32 to $1.80, divide both numbers by their common factor to get the simplest form of $3.60 to $1.50.
Step-by-step explanation:
To simplify the ratio 120m to 2km, we need to convert one of the measurements to the same unit as the other. Let's convert 2km to meters. Since there are 1000 meters in a kilometer, we can multiply 2km by 1000 to get 2000m. Now the ratio becomes 120m to 2000m.
To find the simplest form of the ratio, we can divide both numbers by their greatest common factor (GCF). The GCF of 120 and 2000 is 40. Dividing both numbers by 40 gives us a simplified ratio of 3m to 50m.
Next, to simplify the ratio $4.32 to $1.80, we divide both numbers by their common factor of 1.20 (the hundredths place). Dividing $4.32 by $1.20 gives us $3.60, and dividing $1.80 by $1.20 gives us $1.50. So, the simplest form of the ratio is $3.60 to $1.50.