Question

Calcule ...

3/9 + 2 7/4 - 6,4333... - 11/72

Obrigada por me ajudar...

Answer 1

2 7/4 = 2.4+7/4 = 8+7/4 = 15/4 

6,43333... = 6,4 + 0,0333 ... = 64/10 + 3/90  = 579/90 = 193/30 

Agora resolvendo ... 

3/9 + 15/4 - 193/30 - 11/72           

mmc de 9,4,30 e 72 

4,9,30,72/2
2,9,15,36/2
1,9,15,18/2
1,9,15,9/3
1,3,5,3/3
1,1,5,1/5
1,1,1                    mmc = 2³.3².5  = 360 


(360:9.3)/360 + (360:4.15)/360 - (360:30.193)/360 - (360:72.11)/360 

120/360 + 1 350/360 - 2 316/360 - 55/360 

1 470/360 - 2 371/360 = - 901/360                                       ok