\(\sqrt{\left(-7\right)^2}\) + \(\sqrt{\frac{25}{16}}\) - \(\frac{3}{2}\)
= 7 + \(\frac{5}{4}\) - \(\frac{3}{2}\)
= \(\frac{33}{4}\) - \(\frac{3}{2}\)
= \(\frac{27}{4}\)
\(\sqrt{\left(-7\right)^2}+\sqrt{\frac{25}{16}}-\frac{3}{2}\)
\(=-7+\frac{5}{4}-\frac{3}{2}\)
\(=-\frac{7}{1}+\frac{5}{4}-\frac{3}{2}\)
\(=-\frac{28}{4}+\frac{5}{4}-\frac{6}{4}\)
\(=-29\)