[tex] 1\frac{2}{3} + 0.(3) = \frac{1 \times 3 + 2}{3} + \frac{3}{9} = \frac{5}{3} + (simpificand \: numitorul \: cu \: numaratorul \: obimem \: fractia \: \frac{1}{3} ) + \frac{1}{3} = \frac{5 + 1}{3 } = \frac{6}{3} = 2(deoarece \: 6 \div 3 = 2)[/tex]
