Question

calcule o valor das expressões e identifique o resultado como fração de um retângulo:
a) (3/4 + 2/4) : (1/3 + 2/3)
b) (3/2 - 2/3) : (1/4 +1)
c) (1/2 - 1/2) : (3/128 x 5/243)
d) (10/3 - 1/3) : (2/5 + 1/2)
e)(1/2 + 1/3 - 1/4) : (1 + 1/6)

Answer 1

Resposta:

Explicação passo-a-passo:

a) (3/4 + 2/4) : (1/3 + 2/3)

= 5/4 : 3/3

= 5/4÷1

= 5/4

________

b) (3/2 - 2/3) : (1/4 +1)

= [(3.3-2.2)/6] : (1/4+4/4)

= (9-4)/6 : 5/4

= 5/6 . 4/5

= 5/5 . 4/6 (:2)/(:2)

= 1 . 2/3

= 2/3

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c) (1/2 - 1/2) : (3/128 x 5/243)

= 0 : (15/31104)

= 0

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d) (10/3 - 1/3) : (2/5 + 1/2)

= 9/3 : [(2.2+5.1)/10]

= 3 : [4+5]/10

= 3 : 9/10

= 3. 10/9

= 3/9 (:3)/(:3). 10

= 1/3 . 10

= 10/3

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e)(1/2 + 1/3 - 1/4) : (1 + 1/6)

= (6+4-3)/12 : (6+1)/6

= 7/12 : 7/6

= 7/12 . 6/7

= 7/7 . 6/12 (:6)/(:6)

= 1/2