[tex] \frac{31}{12} \div (3 \frac{1}{5} - 2 \frac{1}{6} ) = \frac{31}{12 } \div ( \frac{3 \times 5 + 1}{5} - \frac{2 \times 6 + 1}{6} ) = \\ \frac{31}{12} \div ( \frac{16}{5} - \frac{13}{6} ) = \\ amplificam \: fractiile \: pentru \: ale \: aduce \: la \: acelasi \: numitor. in \: pranteza \\ \frac{31}{12} \div ( { \frac{16 \times 6}{30 } } - \frac{13 \times 5}{30} ) = \\ \frac{31}{12} \div ( \frac{96 - 65}{30} ) = \frac{31}{12} \div \frac{31}{30} = \frac{31}{12} \times \frac{30}{31} = \\ simplificam \: fractiile \: cu \: 31 \\ {\frac{30}{12} }^{(6} = \frac{5}{2} [/tex]
