[tex]5- \frac{3}{4} = \frac{20}{4} - \frac{3}{4} \\\\
~~~~~~~~= \frac{17}{4} \\\\
\frac{1}{3}+3=\frac{1}{3}+\frac{9}{3}\\\\
~~~~~~~~=\frac{10}{3}\\\\
3\frac{1}{4}+1\frac{1}{6}-1\frac{2}{3}+2\frac{1}{2}\\\\
=\frac{13}{4}-\frac{7}{6}-\frac{5}{3}+\frac{5}{2}\\\\
=\frac{78}{24}- \frac{28}{24} - \frac{40}{24} + \frac{60}{24} \\\\
= \frac{50}{24} - \frac{100}{24} \\\\
= \frac{-50:2}{24:2} \\\\= \frac{-25}{12} [/tex]