Find the unit rate. Enter your answer as a mixed number.
A fertilizer covers
3
8
square foot in
1
6
hour.
To find the unit rate, we need to determine how much area the fertilizer covers per hour. In this case, the fertilizer covers 3/8 square foot in 1/6 hour.
To find the unit rate, we can divide the amount of area covered by the amount of time it takes. We divide 3/8 square foot by 1/6 hour.
To divide fractions, we invert the second fraction (1/6) and multiply it by the first fraction (3/8):
(3/8) x (6/1) = (3/8) x (6/1) = (3 x 6) / (8 x 1) = 18/8
Simplifying the fraction 18/8, we can divide both the numerator and the denominator by their greatest common factor, which is 2:
18/2 = 9
8/2 = 4
So, the simplified fraction is 9/4.
The unit rate is 9/4 square foot per hour.
The unit rate you want is ft^2/hr. So, divide area by time to get
(3/8 ft^2) / (1/6 hr) = (3/8)(6/1) = 18/8 = 9/4 ft^2/hr