6 1/6 - 2 2/3 + 1 3/4

6 1/6 - 2 2/3 + 1 3/4
= 37/6 - 8/3 + 7/4
= 74/12 - 32/12 + 21/12
= 63/12
= 5 3/12
= 5 1/4

[tex]6\frac{1}{6} \: - 2 \frac{2}{3} \: + 1\frac{3}{4} \\ \\ \frac{37}{6} \: - \frac{8}{3} + \frac{7}{4} \\ \frac{74}{12} \: - \frac{32}{12} \: + \frac{21}{12} \\ \frac{63}{12} \: \\ 5.25 [/tex]