a)
[tex] \frac{1}{2} + 1 \frac{1}{4} + ( - \frac{3}{8} ) = \\ \frac{1}{2} + \frac{1 \times 4 + 1}{4} + ( - \frac{3}{8} ) = \\ \frac{1}{2} + \frac{5}{4} + ( - \frac{ 3}{ 8} ) = \\ \frac{4}{8} + \frac{10}{8} + ( - \frac{3}{8} ) = \\ \frac{14}{8} + ( - \frac{3}{8} ) = \\ \frac{11}{8} [/tex]
b)
[tex] \frac{7}{6} + \frac{9}{2} + ( - 4 \frac{1}{3} ) = \\ \frac{7}{6} + \frac{9}{2} + ( - \frac{4 \times 3 + 1}{3} ) = \\ \frac{7}{6} + \frac{9}{2} + ( - \frac{13}{3} ) = \\ \frac{7}{6} + \frac{27}{6} + ( - \frac{26}{6} ) = \\ \frac{34}{6} + ( - \frac{26}{6} ) = \\ \frac{8}{6} [/tex]
c)
[tex]5 \frac{1}{2} + ( - \frac{7}{5} ) + \frac{11}{10} = \\ \frac{5 \times 2 + 1}{2} + ( - \frac{7}{5} ) + \frac{11}{10 } = \\ \frac{11}{2} + ( - \frac{7}{5} ) + \frac{11}{10} = \\ \frac{55}{10} + ( - \frac{14}{10} ) + \frac{11}{10} = \\ \frac{41}{10} + \frac{11}{10} = \frac{52}{10} [/tex]
d)
[tex]( - 2 \frac{1}{4} ) + ( - \frac{2}{3} ) + \frac{5}{12} = \\ ( - \frac{2 \times 4 + 1}{4} ) + ( - \frac{2}{3} ) + \frac{5}{12} = \\ ( - \frac{9}{4} ) + ( - \frac{2}{3} ) + \frac{5}{12} = \\ ( - \frac{27}{12} ) + ( - \frac{8}{1 2} ) + \frac{5}{12} = \\ ( - \frac{35}{12} ) + \frac{5}{12} = ( - \frac{30}{12} )[/tex]
e)
[tex] \frac{26}{15} + ( - 3 \frac{2}{3} ) + ( - \frac{17}{5}) = \\ \frac{26}{15} + ( - \frac{3 \times 3 + 2}{3} ) + ( - \frac{17}{5} ) = \\ \frac{26}{15} + ( - \frac{11}{3} ) + ( - \frac{17}{5} ) = \\ \frac{26}{15} + ( - \frac{55}{15} ) + ( - \frac{51}{15} ) = \\ ( - \frac{29}{15} ) + ( - \frac{51}{15}) = ( - \frac{80}{15} ) [/tex]
f)
[tex]2 \frac{13}{18} + ( - 3 \frac{8}{9} ) + ( - \frac{25}{6} ) = \\ \frac{2 \times 18 + 13}{18} + ( - \frac{3 \times 9 + 8}{9} + ( - \frac{25}{6 } ) = \\ \frac{49}{18} + ( - \frac{26}{9} ) + ( - \frac{25}{6} ) = \\ \frac{49}{18} + ( - \frac{52}{18} ) + ( - \frac{75}{18} ) = \\ ( - \frac{3}{18} ) + ( - \frac{75}{18} ) = ( - \frac{78}{18} )[/tex]
