Question

AYUDA PORFA
[ - 1/6 + (1/2 - 5/4) \ /(1+ 3 4 + 1 2 )

Answer 1

Respuesta:

El valor de la operación es -11/27

Explicación paso a paso:

Operaciones combinadas:

[-1/6 + (1/2 - 5/4)] ÷ (1 + 3/4 + 1/2)

Resolvamos:

[-1/6 + (1/2 - 5/4)] ÷ (1 + 3/4 + 1/2)

[-1/6 + (-3/4)] ÷ (1 + 3/4 + 1/2)

[-1/6 - 3/4] ÷ (1 + 3/4 + 1/2)

[-11/12] ÷ (1 + 3/4 + 1/2)

[-11/12] ÷ (7/4 + 1/2)

[-11/12] ÷ (9/4)

-11/27

Operaciones combinadas:

$\frac{1}{2} - \frac{5}{4}=\frac{(1)(2) - (5)(1) }{4} =\frac{2-5}{4} =\frac{-3}{4}$

$\frac{-1}{6} - \frac{3}{4}=\frac{(-1)(2) - (3)(3) }{12} =\frac{-2-9}{12} =\frac{-11}{12}$

$1 + \frac{3}{4}=\frac{(1)(4) + 3 }{4} =\frac{4+3}{4} =\frac{7}{4}$

$\frac{7}{4} + \frac{1}{2}=\frac{(7)(1) + (1)(2) }{4} =\frac{7+2}{4} =\frac{9}{4}$

$\frac{-11}{12}\div \frac{9}{4} = \frac{-11}{12}\times \frac{4}{9} = \frac{-11 \times 4}{12 \times 9} = \frac{-44}{108} = \frac{-11}{27}$

Por lo tanto, el valor de la operación es -11/27