Răspuns:
39/25
Explicație pas cu pas:
[(0,75 + 2/3) ·6/17 + 0,1·5⁻¹] : 0,(3) =
[(75/100⁽²⁵ + 2/3)·6/17 + 1/10 ·1/5 ] : 3/9 =
[(³⁾3/4 + ⁴⁾2/3)· 6/17 +1/50 ] : 1/3 =
= {[(9+8)/12]·6/17 + 1/50} ·3 =
= (17/12 ·6/17 + 1/50 )·3 =
= (6/12 + 1/50)·3 =
= (²⁵⁾1/2 + 1/50) ·3 =
= (25+1)·3/50 = 78/50⁽² = 39/25
