Question

8) (16,4 :2 : 9 + 0,1) : 4

Answer 1

(16,4:2:9 + 0,1):4 = $\frac{91}{360}$

1) 16,4:2 = 8,2

2) 8,2:9 = 8$\frac{2}{10}$:9 = $\frac{82}{10}$:9 = $\frac{82}{10*9}$ = $\frac{82}{90}$

3) $\frac{82}{90}$ + 0,1 = $\frac{82}{90}$ + $\frac{1}{10}$ = $\frac{82}{90}$ + $\frac{9}{90}$ = $\frac{91}{90}$

4) $\frac{91}{90}$:4 = $\frac{91}{90*4}$ = $\frac{91}{360}$

Answer 2

To solve the expression (16,4 : 2 : 9 + 0,1) : 4, we need to follow the order of operations (also known as PEMDAS/BODMAS).

First, let's simplify the expression within the parentheses:

(16,4 : 2 : 9 + 0,1) = (16.4 / 2) / (9 + 0.1) = 8.2 / (9 + 0.1) = 8.2 / 9.1

Now, let's divide this result by 4:

(8.2 / 9.1) : 4 = 0.9010989011 : 4 = 0.2252747253

Therefore, the expression (16,4 : 2 : 9 + 0,1) : 4 evaluates to approximately 0.2252747253.