Question

3/4+7/8÷(1/2×6/5-2/5)+1/4​

Answer 1

Verified answer

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