\(\frac{100}{2}+\frac{\frac{10}{3}}{4}-5\)
\(50+\frac{\frac{10}{3}}{4}-5\)
\(50+\frac{10}{3}\times\frac{1}{4}-5\)
\(50+\frac{10}{12}-5\)
\(50+\frac{5}{6}-5\)
\(\frac{300}{6}+\frac{5}{6}-5\)
\(\frac{305}{6}-5\)
\(\frac{305}{6}-\frac{30}{6}\)
\(\frac{275}{6}\)
\(45\frac{5}{6}\)
\(45.8333333333333333...\)
.