Question: Pedro’s car odometer measures the distance driven in kilometers. Pedro determines that, for every $\frac{8}{10}$ kilometer he drives, he drives the equivalent distance of $\frac{5}{10}$ mile. What is that ratio as a unit rate of kilometers to miles?
1. **State the problem:** We want to find the unit rate of kilometers to miles given that $\frac{8}{10}$ kilometers correspond to $\frac{5}{10}$ miles.
2. **Write the ratio:** The ratio of kilometers to miles is $\frac{\frac{8}{10} \text{ km}}{\frac{5}{10} \text{ miles}}$.
3. **Simplify the ratio:**
$$\frac{\frac{8}{10}}{\frac{5}{10}} = \frac{8}{10} \times \frac{10}{5}$$
4. **Cancel common factors:**
$$= \frac{\cancel{8}}{\cancel{10}} \times \frac{\cancel{10}}{\cancel{5}} = \frac{8}{10} \times \frac{10}{5}$$
Since $10$ cancels out:
$$= \frac{8}{5}$$
5. **Calculate the unit rate:**
$$\frac{8}{5} = 1.6$$
6. **Interpretation:** This means for every 1 mile, Pedro drives 1.6 kilometers.
**Final answer:** The unit rate of kilometers to miles is $1.6$ kilometers per mile.