Subjects arithmetic

Distance Closer 3458Ce

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1. **State the problem:** We need to find how much closer Eduardo lives to the park compared to Nick. 2. **Given distances:** Nick lives $\frac{5}{8}$ mile from the park, Eduardo lives $\frac{3}{10}$ mile from the park. 3. **Formula:** To find how much closer Eduardo lives, subtract Eduardo's distance from Nick's distance: $$\text{Difference} = \frac{5}{8} - \frac{3}{10}$$ 4. **Find a common denominator:** The denominators are 8 and 10. The least common denominator (LCD) is 40. 5. **Convert fractions:** $$\frac{5}{8} = \frac{5 \times 5}{8 \times 5} = \frac{25}{40}$$ $$\frac{3}{10} = \frac{3 \times 4}{10 \times 4} = \frac{12}{40}$$ 6. **Subtract the fractions:** $$\frac{25}{40} - \frac{12}{40} = \frac{25 - 12}{40} = \frac{13}{40}$$ 7. **Interpretation:** Eduardo lives $\frac{13}{40}$ mile closer to the park than Nick. **Final answer:** $\boxed{\frac{13}{40}}$ mile This corresponds to option B.