Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 5 6 square foot in 1 4 hour. The unit rate is square feet per hour.

Mathematics · High School · Mon Jan 18 2021

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Given the statement:

A fertilizer covers 5/6 square foot in 1/4 hour. The unit rate is square feet per hour.

Find the unit rate.

Solution:

In order to determine the unit rate we simply needed to divide 5/6 by ¼. Hence we must take note that in dividing a number with a  fraction, we instead take the reciprocal of the fraction then multiply it to the other value. In our case the reciprocal of ¼ is 4/1 , hence we multiply 4/1 to 5/6.

= 5/6 / ¼

= (5/6)(4/1)

= 20/6 ft^2 per hr

= 10/3 ft^2 per hr

Final answer:

= 10/3 ft^2 per hr