Official Solution:What is the value of \(\frac{4.5 - 2*\frac{3}{6} + \frac{1}{4^2} }{0.75}\)?A. \(\frac{1}{5}\)
B. \(\frac{15}{4}\)
C. \(\frac{15}{3}\)
D. \(\frac{19}{4}\)
E. \(\frac{57}{16}\)
\(\frac{4.5 - 2*\frac{3}{6} + \frac{1}{4^2} }{0.75}=\)
\(\frac{4.5-\frac{6}{6}+\frac{1}{4^2} }{0.75} = \)
\(=\frac{4.5 - 1 +\frac{1}{16} }{0.75} = \)
\(=\frac{3.5+\frac{1}{16} }{0.75} =\)
\(=\frac{\frac{7}{2}+\frac{1}{16} }{0.75}=\)
\(=\frac{\frac{57}{16} }{0.75} = \)
\(=\frac{\frac{57}{16} }{\frac{3}{4} } = \)
\(=\frac{57}{16}*\frac{4}{3} = \)
\(=\frac{19}{4}\)
Answer: D