1. **State the problem:** We need to find how many miles are in 48 kilometers using the formula: $$\text{distance in miles} = \frac{5}{8} \times \text{distance in km}$$ 2. **Write down the formula:** $$m = \frac{5}{8} \times k$$ where $m$ is miles and $k$ is kilometers. 3. **Substitute the given value:** $$m = \frac{5}{8} \times 48$$ 4. **Calculate the multiplication:** $$m = \frac{5}{8} \times 48 = 5 \times \frac{48}{8}$$ Since $\frac{48}{8} = 6$, we have: $$m = 5 \times 6 = 30$$ 5. **Conclusion:** There are **30 miles** in 48 kilometers. This conversion uses the ratio $\frac{5}{8}$, meaning for every 8 kilometers, there are 5 miles.