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Bài 1:
\(0,0\left(8\right)=\frac{1}{10}\cdot0,\left(8\right)=\frac{1}{10}\cdot0,\left(1\right)\cdot8=\frac{4}{5}\cdot\frac{1}{9}=\frac{4}{45}\)
\(0,1\left(2\right)=0,1+0,0\left(2\right)=\frac{1}{10}+\frac{1}{10}\cdot0,\left(2\right)=\frac{1}{10}+\frac{1}{10}\cdot0,\left(1\right)\cdot2=\frac{1}{10}+\frac{1}{5}\cdot\frac{1}{9}=\frac{1}{10}+\frac{1}{45}=\frac{11}{90}\)
\(0,1\left(23\right)=0,1+0,\left(23\right)=\frac{1}{10}+0,\left(01\right)\cdot23=\frac{1}{10}+\frac{1}{99}\cdot23=\frac{1}{10}+\frac{23}{99}=\frac{329}{990}\)
a) Ta có:
\(0,\left(37\right)=\frac{37}{99}\) ; \(0,\left(62\right)=\frac{62}{99}\)
=> \(0,\left(37\right)+0,\left(62\right)=\frac{37}{99}+\frac{62}{99}=\frac{99}{99}=1\)
b) Ta có:
\(0,\left(33\right)=\frac{33}{99}\)
=> \(0,\left(33\right).3=\frac{33}{99}.3=\frac{1}{3}.3=1\)
1) b) \(0,555..=0,\left(5\right)=\frac{5}{9}\)
a) 0,555=\(\frac{555}{1000}=\frac{111}{200}\)
c) \(0,25454..=0,2\left(54\right)=\frac{14}{55}\)
2) a) \(1,\left(6\right).2,\left(3\right):0,\left(7\right)=\frac{5}{3}.\frac{7}{3}:\frac{7}{9}=\frac{35}{9}:\frac{7}{9}=5\)
b) \(0,\left(37\right)+0,\left(62\right)=\frac{37}{99}+\frac{62}{99}=1\)
c) \(0,\left(33\right).3=\frac{1}{3}.3=1\)
Ta có :
\(0,0\left(8\right)=\frac{4}{45}\)
\(0,1\left(2\right)=\frac{11}{90}\)
\(0,1\left(23\right)=\frac{61}{495}\)
Ta có:
\(0,0\left(8\right)=0,0\left(1\right).8=\frac{0,\left(1\right)}{10}.8=\frac{1}{90}.8=\frac{8}{90}\)
Tương tự hết!
0,0(8) = \(\frac{1}{10}\).0,(8) = \(\frac{1}{10}.\frac{8}{9}=\frac{4}{45}\)
đếu m ạ a29
ko cần m giúp