[tex]( \frac{13}{12} - \frac{7}{15} ) \div \frac{34}{30 } + \frac{1}{2} = [/tex]
[tex] = \frac{13 \times 5 - 7 \times 4}{60} \times \frac{30}{34} + \frac{1}{2} = [/tex]
[tex] = \frac{65 - 28}{60} \times \frac{30}{34} + \frac{1}{2} = [/tex]
[tex] = \frac{37}{60} \times \frac{30}{34} + \frac{1}{2} = [/tex]
[tex] = \frac{37}{2 \times 34} + \frac{1}{2} = [/tex]
[tex] = \frac{37 + 34}{2 \times 34} = [/tex]
[tex] = \frac{71}{68} [/tex]
