Between what can Cansecutive integer the tallawing ratien \( \frac{3}{7} \) \( \frac{-3}{5}-1 \) and 0 \( \frac{8}{5} 1 \) and 2 \( \frac{-9}{5} \)

To find the consecutive integers between the given ratios, we will first evaluate each ratio and then determine the consecutive integers that fall between them. 1. **For \( \frac{3}{7} \)**: \[ \frac{3}{7} \approx 0.4286 \] The consecutive integers around \( 0.4286 \) are \( 0 \) and \( 1 \). 2. **For \( \frac{-3}{5} - 1 \)**: \[ \frac{-3}{5} - 1 = \frac{-3}{5} - \frac{5}{5} = \frac{-8}{5} = -1.6 \] The consecutive integers around \( -1.6 \) are \( -2 \) and \( -1 \). 3. **For \( \frac{8}{5} \)**: \[ \frac{8}{5} = 1.6 \] The consecutive integers around \( 1.6 \) are \( 1 \) and \( 2 \). 4. **For \( \frac{-9}{5} \)**: \[ \frac{-9}{5} = -1.8 \] The consecutive integers around \( -1.8 \) are \( -2 \) and \( -1 \). Now, let's summarize the results: - \( \frac{3}{7} \) is between \( 0 \) and \( 1 \). - \( \frac{-3}{5} - 1 \) is between \( -2 \) and \( -1 \). - \( \frac{8}{5} \) is between \( 1 \) and \( 2 \). - \( \frac{-9}{5} \) is between \( -2 \) and \( -1 \). Thus, the consecutive integers between the evaluated ratios are: - For \( \frac{3}{7} \): \( 0, 1 \) - For \( \frac{-3}{5} - 1 \): \( -2, -1 \) - For \( \frac{8}{5} \): \( 1, 2 \) - For \( \frac{-9}{5} \): \( -2, -1 \) If you need to find the overall range of integers that these values fall between, we can summarize that the integers are \( -2, -1, 0, 1, 2 \).