Question

AYUDA X FA
[- 1/3 - (2/3)] / (1/6 - 1/3 + 1/2) * (1/3 - 3/2)

Answer 1

Respuesta:

El valor de la operación es 7/2

Explicación paso a paso:

Operaciones con fracciones:

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

Resolvamos:

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

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

[-1] ÷ (-1/6 + 1/2) . (-7/6)

[-1] ÷ (1/3) . (-7/6)

-3 . (-7/6)

7/2

Operaciones usadas:

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

$\frac{1}{6} - \frac{1}{3}=\frac{(1)(1) - (1)(2) }{6} =\frac{1-2}{6} =\frac{-1}{6}$

$\frac{1}{3} - \frac{3}{2}=\frac{(1)(2) - (3)(3) }{6} =\frac{2-9}{6} =\frac{-7}{6}$

$\frac{-1}{6} + \frac{1}{2}=\frac{(-1)(1) + (1)(3) }{6} =\frac{-1+3}{6} =\frac{2}{6} =\frac{1}{3}$

$-1\div \frac{1}{3} = -1 \times 3 = -3$

$-3\times \frac{-7}{6} = \frac{-3}{1}\times \frac{-7}{6} = \frac{-3 \times -7}{ 1\times6} = \frac{21}{6} = \frac{7}{2}$

Por lo tanto, el valor de la operación es 7/2