Question

Calcule o valor da expressão: 2+1/2×4/9-2/5(3/4-1/3)

Answer 1

2 + (1/2)*(4/9) - (2/5)*(3/4 - 1/3)

2 + 2/9 - (2/5)*((9 - 4)/12)

2 + 2/9 - (2/5)*(5/12)

2 + 2/9 - 1/6 = (108/54 + 12/54 - 9/54) = (120 - 9)/54 = 111/54 = 37/18

Answer 2

2 + 1/2 . 4/9 - 2/5 . (3/4 - 1/3)
2 + 4/18 - 6/20 + 2/15

MMC (18, 20, 15) = 180


180.2/180 + 10.4/180 - 9.6/180 + 12.2/180

360/180 + 40/180 - 54/180 + 24/180

424/180 - 54/180

370/180 (÷ 10)

=> 37/18