6. a)
[tex] \frac{5 \times 4 + 1}{4} + \frac{6 \times 10 + 1}{10} = \frac{21}{4 } + \frac{61}{10 } = \frac{82}{14} = \frac{41}{7} [/tex]
b)
[tex] \frac{6 \times 4 + 1}{4} + \frac{5 \times 3 + 2}{3} + \frac{24 \times 1 + 17}{24} = \frac{25}{4} + \frac{17}{3} + \frac{41}{24} = \frac{75}{12} + \frac{34}{12} + \frac{41}{24} = \frac{109}{12} + \frac{41}{24} = [/tex]