Explicación paso a paso:
[tex] \frac{1}{2} + \frac{1}{5} \times \frac{2}{3} \div \frac{3}{4} = \\ \frac{1}{2} + ( \frac{1 \times 2}{5 \times 3}) \div \frac{3}{4} = \\ \frac{1}{2} + ( \frac{2}{15} \div \frac{3}{4} ) = \\ \frac{1}{2} + \frac{8}{45} = \\ \frac{1(45)}{2(45)} + \frac{8(2)}{45(2)} = \\ \frac{45}{90} + \frac{16}{90} = \frac{45 + 16}{90} = \frac{61}{90} [/tex]
