a) [tex]\it \frac{4}{15} \cdot \frac{45}{16} + 1\frac{1}{6} = ~^{3)} \frac{12}{16} ~+ ~^{8)} \frac{7}{6} = \frac{36}{48} + \frac{56}{48} = \frac{36 + 56}{48} = \frac{92}{48}^{(4} = \frac{23}{12}[/tex]
b) [tex]\it \frac{7}{6} + (- 3\frac{3}{14}) \cdot \frac{7}{25} = \frac{7}{6} + (- \frac{45}{14}) \cdot \frac{7}{25} = \frac{7}{6} = ~^{5)} \frac{7}{6} ~- ~^{3)} \frac{9}{10} = \frac{35}{30} - \frac{27}{30} = \frac{35 - 27}{30} = \frac{8}{30}^{(2} = \frac{4}{15}[/tex]
