[tex] \: \: \: (4 \frac{7}{13} + 1 \frac{11}{12} ) - (6 \frac{1}{12} - 2 \frac{5}{12} ) = \\ \\ = (\frac{59 \times 12}{13 \times 12} + \frac{23 \times 13}{12 \times 13} ) - ( \frac{73}{12} - \frac{29}{12} ) = \\ \: \: \: \\ = ( \frac{708}{156} + \frac{299}{156} ) - ( \frac{73}{12} - \frac{29}{12} ) = \\ \\ = \frac{1007 \times 1}{156 \times 1} - \frac{44 \times 13}{12 \times 13} = \: \\ \\ = \frac{1007}{156} - \frac{572}{156} = \\ \\ = \frac{435 \div 3}{156 \div 3} = \\ \\ = \frac{145}{52} [/tex]
