Question

Calculați sumele:
a) 0,(2) +0, (3)
b) 1,(3) +0, (7)
c) 1,(17) +1, (23)
d) 3,(21) +1, (78)
e) 0,(27) +9, (23)
f) 1,2(71) +2,3(17)
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Answer 1

a) 0,(2) + 0,(3) = 2/9 + 3/9 = 5/9 = 0,(5)

b) 1,(3) + 0,(7) = (13-1)/9 + 7/9 = 12/9+7/9 = 19/9 = 2,(1)

c) 1,(17) +1, (23) =
= (117-1)/99 + (123-1)/99 =
= 116/99 + 122/99 =
= 238/99 =
= 2,(40)

d) 3,(21) +1, (78) =
= (321-3)/99 + (178-1)/99 =
= 318/99 + 177/99 =
= 495/99 =
= 5

e) 0,(27) +9, (23) =
= 27/99 + (923-9)/99 =
= 27/99 + 914/99 =
= 941/99 =
= 9,(50)

f) 1,2(71) +2,3(17) =
= (1271 - 12)/990 + (2317-23)/990 =
= 1259/990 + 2294/990 =
= 3553/990 =
= 3,5(8)