Subjects fractions

Yvonne Water Stops 54Aea6

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1. **State the problem:** Yvonne ran $\frac{3}{8}$ of the race before stopping for water. She wants to stop for water one more time before finishing the race. List two ways Yvonne can do this. 2. **Understanding the problem:** The total race is 1 (or $\frac{8}{8}$). Yvonne has already run $\frac{3}{8}$. She wants to split the remaining $\frac{5}{8}$ into two parts, stopping once more before finishing. 3. **Formula and rules:** We want to find two fractions $a$ and $b$ such that: $$\frac{3}{8} + a + b = 1$$ where $a + b = \frac{5}{8}$. 4. **First way:** Split $\frac{5}{8}$ as $\frac{2}{8} + \frac{3}{8}$. 5. **Second way:** Split $\frac{5}{8}$ as $\frac{1}{8} + \frac{4}{8}$. 6. **Explanation:** Yvonne can run $\frac{3}{8}$, then stop for water after running $\frac{2}{8}$ more, then finish the last $\frac{3}{8}$. Or she can run $\frac{3}{8}$, stop after $\frac{1}{8}$ more, then finish the last $\frac{4}{8}$. 7. **Summary:** Two ways to stop one more time before finishing are: - $\frac{3}{8} + \frac{2}{8} + \frac{3}{8} = 1$ - $\frac{3}{8} + \frac{1}{8} + \frac{4}{8} = 1$