Question

M = 2,555..., -3,666...+1,4

Answer 1

Hola! :3

Antes de resolver tu problema, debemos pasar a fracción aquellos decimales, recordando que:

0,aaa.. = a/9

b,aaa... = b + a/9

b,a = (Numeral ba)/10

• 2,555.. = 2 + 0,555.. = 2 + 5/9 = (2*9 + 5)/9 = (18 + 5)/9 = 23/9
• -3,666.. = -(3 + 0,666..) = -(3 + 6/9) = -[(3*9 + 6)/9] = -[(27 + 6)/9] = -33/9
• 1,4 = 14/10 = 7/5

Ahora, resolvemos:

M = 2,555.. - 3,666.. + 1,4

M = 23/9 - 33/9 + 7/5

M = (23 - 33)/9 + 7/5

M = -10/9 + 7/5

M = (-10*5 + 9*7)/(9*5)

M = (-50 + 63)/45

M = +13/45

Rpta: El resultado de M es 13/45

Espero haberte ayudado :D

Atte: Jean07122006