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\(0,1\left(73\right)=10.1,\left(73\right)=\frac{1}{10}.\left(1+0,\left(01\right).73\right)=\)\(\frac{1}{10}.\left(1+\frac{1}{99}.73\right)=\frac{1}{10}.\left(1+\frac{73}{99}\right)=\)\(\frac{1}{10}.\left(\frac{99}{99}+\frac{73}{99}\right)=\frac{1}{10}.\frac{172}{99}=\frac{172}{990}=\)\(\frac{86}{495}\)
\(1,\left(3\right)=1+0,\left(1\right).3=1+\frac{1}{9}.3=1+\frac{1}{3}=\frac{3}{3}+\frac{1}{3}=\frac{4}{3}\)
Dấu ''.'' là dấu nhân nhé bạn
Ta có:
\(1,\left(703\right)=1+\frac{703}{999}\)
\(=\frac{999+703}{999}\)
\(=\frac{1702}{999}\)
\(=\frac{1702:37}{999:37}\)
\(=\frac{46}{27}\)
\(0,3\left(13\right)=\frac{3}{10}+0,\left(13\right):10=\frac{3}{10}+\frac{13}{99}:10=\frac{3}{10}+\frac{13}{990}=\frac{31}{99}\)