(5/6 ft^2)/(1/2 hr)
= (5/6)/(1/2) ft^2/hr
= 5/3 ft^2/hr
A fertilizer covers 5/6
square foot in 1/2 hours.
The unit rate is ____ square feet per hour.
= (5/6)/(1/2) ft^2/hr
= 5/3 ft^2/hr
The amount covered is 5/6 square foot, and the time taken is 1/2 hours.
So, the unit rate is (5/6 square foot) ÷ (1/2 hours).
To divide fractions, we multiply the numerator of the first fraction by the reciprocal of the second fraction.
So, the unit rate is (5/6 square foot) × (2/1 hours), which simplifies to (5/6) × (2) square feet per hour.
Multiplying the numerators gives 5 × 2 = 10.
And multiplying the denominators gives 6 × 1 = 6.
So, the unit rate is 10/6 square feet per hour.
We can simplify this by dividing both the numerator and denominator by their greatest common divisor, which is 2.
Dividing 10 by 2 gives 5, and dividing 6 by 2 gives 3.
So, the unit rate is 5/3 square feet per hour.
Since the numerator is greater than the denominator, we can also convert the fraction to a mixed number.
Dividing 5 by 3 gives 1, with a remainder of 2.
So, the unit rate is 1 and 2/3 square feet per hour.
Therefore, the unit rate is 1 2/3 square feet per hour.
We already know that the fertilizer covers 5/6 square foot in 1/2 hours. To find how much area it covers in 1 hour, we can multiply the amount covered in 1/2 hour by 2.
(5/6 square foot) x 2 = 10/6 square foot
Simplifying 10/6 square foot:
10 ÷ 2 = 5
6 ÷ 2 = 3
So, 10/6 square foot simplifies to 5/3 square foot.
Therefore, the unit rate is 5/3 square feet per hour.