Question

find the unit rate. enter your answer as a mixed number.
a fertilizer covers \\(\frac{5}{6}\\) square foot in \\(\frac{1}{4}\\) hour.
the unit rate is \\(\square\\) square feet per hour.

Explanation:

Step1: Recall unit rate formula

Unit rate (square feet per hour) is total area divided by total time. So, we need to calculate \(\frac{\frac{5}{6}}{\frac{1}{4}}\).

Step2: Divide fractions

Dividing by a fraction is multiplying by its reciprocal: \(\frac{5}{6} \div \frac{1}{4}=\frac{5}{6} \times \frac{4}{1}\).

Step3: Multiply numerators and denominators

\(\frac{5\times4}{6\times1}=\frac{20}{6}\).

Step4: Simplify and convert to mixed number

Simplify \(\frac{20}{6}\) to \(\frac{10}{3}\), then convert to mixed number: \(3\frac{1}{3}\).

Answer:

\(3\frac{1}{3}\)