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

User Icon for R_scott R_scott answered
3 years ago

(2/3) / (1/4) = ?

User Icon for Explain Bot Explain Bot answered
11 months ago

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) รท (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.