Final answer:
To convert the rate (120/6) to a unit rate, divide 120 by 6 to get the unit rate of 20/1, which is simply 20. Unit conversions require multiplying by appropriate conversion factors to ensure units cancel out, such as changing km/min to km/h by multiplying by 60 min/hr.
Step-by-step explanation:
To convert the given rate (120/6) to a unit rate, you must divide the numerator by the denominator. To illustrate, if you have a rate of 120/6, you divide 120 by 6, which equals 20. Hence, the unit rate is 20/1 or simply 20. This means for every 1 of the bottom unit, you have 20 of the top unit.
When performing unit conversions or working with ratios, it's crucial to ensure that units cancel out properly. For example, converting from minutes to seconds involves multiplying by a conversion factor like 60s/1min, where 60 seconds are equivalent to 1 minute. This multiplication ensures that minutes cancel out, leaving the desired unit of seconds.
In another scenario, converting km/min to km/h would require you to multiply by 60 min/hr because there are 60 minutes in an hour. This allows the minutes to cancel out and leaves the rate in kilometers per hour.