Question

sendo k= 0,444... + 0,25 + 1,222... calcule o valor de 12k

Answer 1

x = 0,444... + 0,25 + 1,222...

Note que 1,222... = 1 + 0,222...
= 1 + 2/9 = 11/9

$x = \frac{4}{9} + \frac{1}{4} + \frac{11}{9} \\ \\ x = \frac{16 + 9 + 44}{36} = \frac{69}{36} = \frac{23}{12}$

Se ele pede 12x:

$x= \frac{23}{12} \\ \\ 12 \times \frac{23}{12} = 23$