respuesta
[tex] \frac{43}{8} [/tex]
PASOS
usa la regla
[tex] \frac{a}{b} \times \frac{c}{d} = \frac{ac}{bd} [/tex]
[tex] \frac{3}{4} + \frac{7}{8} \div ( \frac{1 \times 6}{2 \times 5} - \frac{2}{5} ) + \frac{1}{4} [/tex]
simplifica 1×6 a 6
[tex] \frac{3}{4} + \frac{7}{8} \div ( \frac{6}{2 \times 5} - \frac{2}{5} ) + \frac{1}{4} [/tex]
simplifica 2×5 a 10
[tex] \frac{3}{4} + \frac{7}{8} \div ( \frac{6}{10} - \frac{2}{5} ) + \frac{1}{4} [/tex]
simplifica 6/10 a 3/5
[tex] \frac{3}{4} + \frac{7}{8} \div ( \frac{3}{5} - \frac{2}{5} ) + \frac{1}{4} [/tex]
simplifica 3/5-2/5 a 1/5
[tex] \frac{3}{4} + \frac{7}{8} \div \frac{1}{5} + \frac{1}{4} [/tex]
usa la regla
[tex]a \div \frac{b}{c} = a \times \frac{c}{b} [/tex]
[tex] \frac{3}{4} + \frac{7}{8} \times 5 + \frac{1}{4} [/tex]
usa la regla
[tex] \frac{a}{b } \times c = \frac{ac}{b} [/tex]
[tex] \frac{3}{4} + \frac{7 \times 5}{8} + \frac{1}{4} [/tex]
simplifica 7×5 a 35
[tex] \frac{3}{4} + \frac{35}{8} + \frac{1}{4} [/tex]
simplifica
[tex] \frac{43}{8} [/tex]
espero ayudarte
