Question

Resolva as expressões numéricas e simplifique o resultado, quando possível.

a) [-4/5] • [35/16] +5/4=

b) [10/3] : [-5/4] -8/7=

c) [4 -1/3] : [4 +1/2]=

d) [2/5 -1/4] • [1/3 -1] : [-2 -4/5]=​

Answer 1

Resposta:

Explicação passo-a-passo:

a) [-4/5] • [35/16] +5/4=

= -4/16 (:4)/(:4) . 35/5 + 5/4

= - 1/4 . 7 + 5/4

= - 7/4 + 5/4

= - 2/4 (:2)/(:2)

= - 1/2

b) [10/3] : [-5/4] -8/7=

= 10/3 . (-4/5) - 8/7

= - 10/5 . 4/3 - 8/7

= - 2.4/3 - 8/7

= - 8/3 - 8/7

= (-7.8 - 3.8)/21

= (-56-24)/21

= - 80/21

c) [4 -1/3] : [4 +1/2]=

= (3.4 - 1)/3 : (2.4 + 1)/2

= (12-1)/3 : (8+1)/2

= 11/3 : 9/2

= 11/3 . 2/9

= 22/27

d) [2/5 -1/4] • [1/3 -1] : [-2 -4/5]=​

= (4.2 - 5)/20 . (1 - 3)/3 : (-5.2 - 4)/5

= (8-5)/20 . (-2)/3 : (-10-4)/5

= 3/20 . (-2)/3 : (-14)/5

= - 3.3 . 2/20 . (-5)/14

= - 1 . 1/10 . (-5)/14

= 1/10 . 5/14

= 5/10 (:5)/(:5) . 1/14

= 1/2 . 1/14

= 1/28