Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 2/3 square foot in 1/4 hour. The unit rate is ? square feet per hour
To find the unit rate, we need to determine how many square feet are covered in one hour.
First, we need to convert the time from 1/4 hour to 1 hour. Since there are 4 quarters in an hour, we multiply both the numerator and denominator of 1/4 by 4:
1/4 * 4/4 = 4/16
Next, we divide the amount of square feet covered (2/3) by the time in hours (4/16):
(2/3) ÷ (4/16)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(2/3) * (16/4) = (2 * 16)/(3 * 4) = 32/12
Simplifying the fraction, we get:
32/12 = 8/3
The unit rate is expressed as square feet per hour, so the final answer is 8/3 square feet per hour.