Question

REsolva ⌊(5/6-1/3) - 1/5⌋: √(9/4)

Answer 1

Resposta: 1/5

Explicação passo-a-passo:

A expressao seria:

[(5/6 - 1/3) - 1/5]: √(9/4)

obtendo o MMC entre 5/6 e 1/3:

6, 3 | 2

3, 3 | 3

1, 1  |  

MMC de 6 e 3 = 6. Reescrevendo toda expressao....

[(5.1/6 - 1.2/6) - 1/5]: √(9/4)

[(5/6 - 2/6) - 1/5] : √(9/4)

[3/6 - 1/5] : √(9/4)

MMC de 6 e 5 = 30. Reescrevendo toda expressao....

[3.5/30 - 1.6/30] : √(9/4)

[15/30 - 6/30] : √(9/4)

[9/30] : √(9/4)

√(9/4) = √9/√4 = 3/2   e 9/30 = 3/10 (simplificacao)

[3/10] : √(9/4)

3/10 : 3/2

3/10 × 2/3

2/10

1/5