[tex]a) - 2 \frac{3}{8} - 1 \frac{7}{10} [/tex]
[tex] = - \frac{2 \times 8 + 3}{8} - \frac{1 \times 10 + 7}{10} [/tex]
[tex] = - \frac{16 + 3}{8} - \frac{10 + 7}{10} [/tex]
[tex] = - \frac{19}{8} - \frac{17}{10} [/tex]
[tex] = - \frac{95}{40} - \frac{68}{40} [/tex]
[tex] = - \frac{95 - 68}{40} [/tex]
[tex] = - \frac{27}{40} [/tex]
[tex]b) - 5 \frac{1}{4} + 1 \frac{1}{8} [/tex]
[tex] = - \frac{5 \times 4 + 1}{4} + \frac{1 \times 8 + 1}{8} [/tex]
[tex] = - \frac{20 + 1}{4} + \frac{8 + 1}{8} [/tex]
[tex] = - \frac{21}{4} + \frac{9}{8} [/tex]
[tex] = - \frac{42}{8} + \frac{9}{8} [/tex]
[tex] = - \frac{42 + 9}{8} [/tex]
[tex] = - \frac{51}{8} [/tex]
[tex]c)4 \frac{3}{7} - 8 \frac{9}{14} [/tex]
[tex] = \frac{4 \times 7 + 3}{7} - \frac{8 \times 14 + 9}{14} [/tex]
[tex] = \frac{28 + 3}{7} - \frac{112 + 9}{14} [/tex]
[tex] = \frac{31}{7} - \frac{121}{14} [/tex]
[tex] = \frac{62}{14} - \frac{121}{14} [/tex]
[tex] = \frac{62 - 121}{14} [/tex]
[tex] = - \frac{59}{14} [/tex]
[tex]d) - 2\frac{3}{4} - ( - 3 \frac{2}{5} )[/tex]
[tex] = - \frac{2 \times 4 + 3}{4} + \frac{3 \times 5 + 2}{5} [/tex]
[tex] = - \frac{8 + 3}{4} + \frac{15 + 2}{5} [/tex]
[tex] = - \frac{11}{4} + \frac{17}{5} [/tex]
