paige mows 1/6 of an acre in 1/4 hour. how many acres does paige mow per hour?

Explanation:

Step1: Determine the rate formula

The rate (r=\frac{\text{work done}}{\text{time taken}}). Here, work done is (\frac{1}{6}) acre and time taken is (\frac{1}{4}) hour. So, (r = \frac{\frac{1}{6}}{\frac{1}{4}}).

Step2: Simplify the division of fractions

When dividing by a fraction, we multiply by its reciprocal. So, (\frac{\frac{1}{6}}{\frac{1}{4}}=\frac{1}{6}\times\frac{4}{1}).

Step3: Calculate the product

(\frac{1\times4}{6\times1}=\frac{4}{6}). Simplify (\frac{4}{6}) by dividing numerator and denominator by 2. (\frac{4\div2}{6\div2}=\frac{2}{3}).

Answer:

(\frac{2}{3})