Question

$\frac{2}{3} - \frac{5}{4} + \frac{27}{12} ÷ \frac{9}{2}$

Answer 1

$\ \ \ \frac{2}{3} - \frac{5}{4} + \frac{27}{12} : \frac{9}{2}\\ \\=\frac{2}{3} - \frac{5}{4} + \frac{27}{12} \cdot \frac{2}{9}\\ \\=\frac{2}{3} - \frac{5}{4} + \frac{54}{108} \\ \\=\frac{2}{3} - \frac{5}{4} + \frac{54}{2\cdot54} \\ \\=\frac{2}{3} - \frac{5}{4} + \frac{1}{2} \\ \\=\frac{8}{12} - \frac{15}{12} + \frac{6}{12} \\ \\=\frac{8-15+6}{12}\\ \\=- \frac{1}{12}$