Question

in $\frac{1}{6}$ days, a construction crew built $\frac{1}{3}$ miles of road. what is the unit rate in miles per day? write your answer in simplest form.

Explanation:

Step1: Recall unit rate formula

Unit rate (miles per day) is miles divided by days. So we use the formula: Unit Rate = $\frac{\text{Miles}}{\text{Days}}$.

Step2: Substitute values

We have miles = $\frac{1}{3}$ and days = $\frac{1}{6}$. So Unit Rate = $\frac{\frac{1}{3}}{\frac{1}{6}}$.

Step3: Divide fractions

Dividing by a fraction is multiplying by its reciprocal: $\frac{1}{3} \times \frac{6}{1} = \frac{6}{3}$.

Step4: Simplify

Simplify $\frac{6}{3}$ to 2.

Answer:

2