Final answer:
To calculate the unit rate, the complex fraction 2/4 miles in 3/6 hours simplifies to 1/2 mile per 1/2 hour, resulting in a unit rate of 1 mile per hour, which is 1.0 as a decimal.
Step-by-step explanation:
To calculate the unit rate of 2/4 miles in 3/6 hours, we need to simplify the complex fraction. First, we simplify both the numerator (distance) and the denominator (time) of the fraction. Since 2/4 simplifies to 1/2 and 3/6 simplifies to 1/2, our fraction becomes 1/2 mile per 1/2 hour. To find the unit rate in terms of miles per hour, we divide the number of miles by the number of hours:
- 1/2 mile ÷ 1/2 hour
- To divide by a fraction, we multiply by its reciprocal. So, (1/2) ÷ (1/2) becomes (1/2) × (2/1)
- This simplifies to 1 × 1, which equals 1
- Therefore, the unit rate is 1 mile per hour.
As a decimal, the unit rate is 1.0 miles per hour. Remember, when converting units, it is important to ensure that all units cancel out properly in the equation so that the final units match what you are solving for.