Răspuns: 1 / 3
Explicație pas cu pas:
c)
→ introduc intregii in fractie
5 intregi si 2 / 3 = ( 5 x 3 + 2 ) / 3 = 17 / 3
1,(5) = ( 15 - 1 ) / 9 = 14 / 9
15 intregi si 2 / 3 = ( 15 x 3 + 2 ) / 3 = 47 / 3
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= ( 17 / 3 + 14 / 9 - 2 ) : ( 47 / 3 ) =
= ( 51 / 9 + 14 / 9 - 18 / 9 ) × 3 / 47 =
= ( 47 / 9 ) × ( 3 / 47 ) =
= ( 47 / 47 ) × ( 3 / 9 ) =
= 1 × 1 / 3 =
= 1 / 3