Question

Determinați cifra x știind că: 0,34(x)=$\frac{26}{75}$

Answer 1

 $0,34(x)=\frac{\overline{34x}-34}{900}\;;\\ \Rightarrow\;\frac{\overline{34x}-34}{900}=\frac{26}{75}\;\Leftrightarrow\;75\cdot(\overline{34x}-34)=26\cdot900$
75*(340+x-34)=26*900
25500+75x-2550=23400
75x=23400-22950
75x=450
x=6