Respuesta :

in exact form: 13/36

in decimal form: 0.36111111...
[tex] \frac{1}{4} * (1-2/3)^{2} + \frac{1}{3} [/tex]

= [tex] \frac{1}{4} * ( 1 - \frac{4}{3} + \frac{4}{9} ) + \frac{1}{3} [/tex]

= [tex] \frac{1}{4} - \frac{1}{3} + \frac{1}{9} + \frac{1}{3} [/tex]

= [tex] \frac{1}{4} + \frac{1}{9} [/tex]

= [tex] \frac{9 + 4}{9 * 4} [/tex]

= [tex] \frac{13}{36} [/tex]