A)
[tex] \frac{2 \times 2 + 1}{2} - ( \frac{3}{4} - ( \frac{8 - 5}{8} )) = [/tex]
[tex] = \frac{5}{2} - ( \frac{3}{4} - \frac{3}{8} ) = \frac{5}{2} - \frac{2 \times 3 - 3}{8} = [/tex]
[tex] = \frac{5}{2} - \frac{3}{8} = \frac{4 \times 5 - 3}{8} = \frac{17}{8} [/tex]
B)
[tex] \frac{3 \times 4 + 1}{4} + ( \frac{1 \times 6 + 1}{6} - ( \frac{12 - 1}{12} )) = [/tex]
[tex] = \frac{13}{4} + ( \frac{7}{6} - \frac{11}{12} ) = \frac{13}{4} + \frac{2 \times 7 - 11}{12} = [/tex]
[tex] = \frac{13}{4} + \frac{3}{12} = \frac{3 \times 13 + 3}{12} \\ = \frac{42}{12} \div |2| = \frac{21}{6} \div |3| = \frac{7}{2} [/tex]
C)
[tex]( \frac{4}{3} - \frac{6}{5} ) + (2 - \frac{14}{15} ) = [/tex]
[tex] = \frac{5 \times 4 - 3 \times 6}{15} + \frac{15 \times 2 - 14}{15} [/tex]
[tex] = \frac{2}{15} + \frac{16}{15} = \frac{18}{15} \div |3| = \frac{6}{5} [/tex]
D)
[tex](1 + \frac{1}{3} ) - ( \frac{13}{6} - \frac{4}{3} ) = \\ \frac{3 + 1}{3} - \frac{13 - 2 \times 4}{6} = [/tex]
[tex] = \frac{4}{3} - \frac{5}{6} = \frac{2 \times 4 - 5}{6} = \frac{3}{6} \div |3| = \frac{1}{2} [/tex]
