To determine which rational numbers lie between \(\frac{-7}{10}\) and \(\frac{-1}{4}\), we need to compare each option's numbers with these two boundary values. First, let's convert \(\frac{-7}{10}\) and \(\frac{-1}{4}\) to decimal form for easier comparison: - \(\frac{-7}{10} = -0.7\) - \(\frac{-1}{4} = -0.25\) Now, let's evaluate each option: Option 1: \(\frac{5}{-8}\), \(\frac{-2}{3}\), \(\frac{-3}{5}\) - \(\frac{5}{-8} = -0.625\), which is between \(-0.7\) and \(-0.25\). - \(\frac{-2}{3} = -0.6666\ldots\), which is also between…Read More