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máy tính xin hân hạnh đồng hành cùng với lê Kiều Trinh
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\(a,1,\left(27\right)=1+\frac{27}{99}=1+\frac{3}{11}=\frac{14}{11}\)
\(0,\left(423\right)=\frac{423}{999}=\frac{47}{111}\)
\(2,\left(15\right)=2+\frac{15}{99}=2+\frac{5}{33}=\frac{71}{33}\)
\(b,3,04\left(31\right)=3+\frac{431-4}{9990}=3+\frac{427}{9990}=\frac{3397}{9990}\)
\(1,8\left(34\right)=1+\frac{834-8}{990}=1+\frac{413}{495}=\frac{908}{495}\)
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Bài 1:
\(0,0\left(8\right)=\frac{1}{10}\cdot0,\left(8\right)=\frac{1}{10}\cdot0,\left(1\right)\cdot8=\frac{4}{5}\cdot\frac{1}{9}=\frac{4}{45}\)
\(0,1\left(2\right)=0,1+0,0\left(2\right)=\frac{1}{10}+\frac{1}{10}\cdot0,\left(2\right)=\frac{1}{10}+\frac{1}{10}\cdot0,\left(1\right)\cdot2=\frac{1}{10}+\frac{1}{5}\cdot\frac{1}{9}=\frac{1}{10}+\frac{1}{45}=\frac{11}{90}\)
\(0,1\left(23\right)=0,1+0,\left(23\right)=\frac{1}{10}+0,\left(01\right)\cdot23=\frac{1}{10}+\frac{1}{99}\cdot23=\frac{1}{10}+\frac{23}{99}=\frac{329}{990}\)
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0,(1) =\(\frac{1}{9}\); 0,0(33) = 0,(01).33 : 10 =\(\frac{33}{99}:10=\frac{1}{30}\);
8,2(7) = 82,(7) : 10 =\(\frac{82+0,\left(1\right).7}{10}=\frac{82+\frac{7}{9}}{10}=\frac{745}{9}:10=\frac{149}{18}\)
1,00(001) = 100,(001) : 100 =\(\frac{100+\frac{1}{999}}{10}=\frac{99901}{999}:10=\frac{99901}{9990}\)
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a: \(\dfrac{7}{3}=2,\left(3\right)\)
\(\dfrac{7}{9}=0,\left(7\right)\)
\(\dfrac{4}{9}=0,\left(4\right)\)
\(\dfrac{13}{45}=0,2\left(8\right)\)
b: \(-\dfrac{1}{3}=-0.\left(3\right)\)
\(\dfrac{4}{7}=0,\left(571428\right)\)
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1 ) Viết các số thập phân sau thành phân số tối giản :
a ) 9,12\(=9\frac{12}{100}\)\(=9\frac{3}{25}=\frac{228}{25}\)
b ) 3,04\(=3\frac{4}{100}=3\frac{1}{25}=\frac{76}{25}\)
2 ) Tính tổng :
a ) 0,( 27 ) + 0,( 72 )=0,(99)=0,(9)
b ) 0,( 54 ) + 0,( 45 )=0,(99)=0,(9)
\(a\text{)}1,\left(7\right)=1+0,\left(7\right)=1+\frac{7}{9}=\frac{16}{9}\)
\(b\text{)}0,\left(45\right)=\frac{45}{99}\)
\(c\text{)}0,0\left(31\right)=0,\left(31\right):10=\frac{31}{99}:10=\frac{31}{990}\)
\(d\text{)}1,8\left(33\right)=1,8+0,0\left(33\right)=1,8+0,\left(33\right):10=1,8+\frac{33}{990}=\frac{54}{30}+\frac{1}{30}=\frac{55}{30}\)
Bn ghi sai đề thì phải làm gì có ngoặc