• Matéria: Matemática
  • Autor: sivonete584
  • Perguntado 3 anos atrás

a) (2/7 + 6) : (8/6 - 9/12) =

b) (3/8 + 4 x 1/2) : (3 x 2/3 + 1/4) =

c) (3 x 1/6 - 9/4) : (1 x 1/2 + 3 - 1/4) =

d) (3/4 + 1/3 x 2/5) : (4/3 x 5/2 - 3/4) =

e) (1 x 2/3 x 12/5 + 3/8) : (3/8 + 1/3 : 4/3) =

Respostas

respondido por: Makaveli1996
2

a)

= (2/7 + 6) ÷ (8/6 - 9/12)

= (2 + 42)/7 ÷ 4/3 - 9/12

= 44/7 ÷ (16 - 9)/12

= 44/7 ÷ 7/12

= 44/7 . 12/7

= (44 . 12)/(7 . 7)

= 528/49

b)

= (3/8 + 4 . 1/2) ÷ (3 . 2/3 + 1/4)

= (3/8 + 2) ÷ (2 + 1/4)

= (3 + 16)/8 ÷ (8 + 1)/4

= 19/8 ÷ 9/4

= 19/8 . 4/9

= 19/2 . 1/9

= (19 . 1)/(2 . 9)

= 19/18

c)

= (3 . 1/6 - 9/4) ÷ (1 . 1/2 + 3 - 1/4)

= (3 . 1/6 - 9/4) ÷ (1/2 + 3 - 1/4)

= (1/2 - 9/4) ÷ (2 + 12 - 1)/4

= (2 - 9)/4 ÷ 13/4

= - 7/4 ÷ 13/4

= - 7/4 . 4/13

= - 7 . 1/13

= - 7/1 . 1/13

= - (7 . 1)/(1 . 13)

= - 7/13

d)

= (3/4 + 1/3 . 2/5) ÷ (4/3 . 5/2 - 3/4)

= (3/4 + (1 . 2)/(3 . 5)) ÷ (2/3 . 5 - 3/4)

= (3/4 + 2/15) ÷ (2/3 . 5 - 3/4)

= (45 + 8)/60 ÷ (2/3 . 5/1 - 3/4)

= 53/60 ÷ ((2 . 5)/(3 . 1) - 3/4)

= 53/60 ÷ (10/3 - 3/4)

= 53/60 ÷ (40 - 9)/12

= 53/60 ÷ 31/12

= 53/60 . 12/31

= 53/5 . 1/31

= (53 . 1)/(5 . 31)

= 53/155

e)

= (1 . 2/3 . 12/5 + 3/8) ÷ (3/8 + 1/3 ÷ 4/3)

= (2 . 4/3 + 3/8) ÷ (3/8 + 1/3 . 3/4)

= (2/1 . 4/3 + 3/8) ÷ (3/8 + 1/4)

= ((2 . 4)/(1 . 3) + 3/8) ÷ (3/8 + 1/4)

= (8/3 + 3/8) ÷ (3/8 + 1/4)

= (64 + 15)/40 ÷ (3 + 2)/8

= 79/40 ÷ 5/8

= 79/40 . 8/5

= 79/5 . 1/5

= (79 . 1)/(5 . 5)

= 79/25

Att. YRZ


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