$$\left[0, \overline{6} \cdot\left(2-\frac{4}{5}\right)-\left(1-\frac{2}{5}-0,25\right) \cdot \frac{4}{7}\right]: 1,8$$
$$\left[0, \overline{6} \cdot\left(2-\frac{4}{5}\right)-\left(1-\frac{2}{5}-0,25\right) \cdot \frac{4}{7}\right]: 1,8$$
38
punti
Livello 0
0,6 periodico = 6/9 = 2/3;
0,25 = 25/100 = 1/4;
1,8 = 18/10 = 9/5;
[2/3 * (10 - 4)/5 - (1 - 2/5 - 1/4) * 4/7] : 9/5; mcm (5; 4) = 20;
[2/3 * 6/5 - (20 - 8 - 5) / 20 * 4/7] : 9/5 =
= [4/5 - 7/20 * 4/7 ] : 9/5 =
= [4/5 - 1/5 ] : 9/5 =
= 3/5 * 5/9 = 1/3.
Ciao @letizia_aurora
71707
punti
Genius II
* 0.(6) = 2/3
* 0.25 = 1/4
* 1.8 = 9/5
* [0.(6)*(2 - 4/5) - (1 - 2/5 - 0.25)*4/7] : 1.8 =
= ((2/3)*(2 - 4/5) - (1 - 2/5 - 1/4)*4/7) / (9/5) =
= ((2/3)*(10/5 - 4/5) - (20/20 - 8/20 - 5/20)*4/7) / (9/5) =
= ((2/3)*6/5 - (7/20)*4/7) / (9/5) =
= (4/5 - 1/5) / (9/5) =
= (3/5) / (9/5) =
= (3/5)*5/9 =
= 1/3
57171
punti
Genius I