Question

-10-[1 3/5 - ( 4/9 + 6 - 3/10 ) ] + 2 1/15​

Answer 1

Respuesta:

El valor de la operación es -61/18

Explicación paso a paso:

Operaciones con fracciones:

-10 - [1 3/5 - (4/9 + 6 - 3/10)] + 2 1/15​

Resolvamos:

-10 - [1 3/5 - (4/9 + 6 - 3/10)] + 2 1/15​

-10 - [1 3/5 - (58/9 - 3/10)] + 2 1/15​

-10 - [1 3/5 - (553/90)] + 2 1/15​

-10 - [1 3/5 - 553/90] + 2 1/15​

-10 - [-409/90] + 2 1/15​

-10 + 409/90 + 2 1/15

-491/90 + 2 1/15

-61/18

Operaciones usadas:

$\frac{4}{9} + 6=\frac{4 + (6)(9) }{9} =\frac{4+54}{9} =\frac{58}{9}$

$\frac{58}{9} - \frac{3}{10}=\frac{(58)(10) - (3)(9) }{90} =\frac{580-27}{90} =\frac{553}{90}$

$1\frac{3}{5} - \frac{553}{90}=\frac{8}{5} - \frac{553}{90}=\frac{(8)(18) - (553)(1) }{90} =\frac{144-553}{90} =\frac{-409}{90}$

$-10 + \frac{409}{90}=\frac{(-10)(90) + 409 }{90} =\frac{-900+409}{90} =\frac{-491}{90}$

$\frac{-491}{90} +2 \frac{1}{15}=\frac{-491}{90} + \frac{31}{15}=\frac{(-491)(1) + (31)(6) }{90} =\frac{-491+186}{90} =\frac{-305}{90} =\frac{-61}{18}$

Por lo tanto, el valor de la operación es -61/18