Question

0.(3)+3 1/3+0.4(2)

4/9 - 0.(13)

0.(37) × x = 1

0.(26) × x=1.2(31)

Answer 1

Ta có: \(0,\left(3\right)+\frac{31}{3}+0,4\left(2\right)=\frac{3}{9}+\frac{31}{3}+\frac{42-4}{90}=\frac{1}{3}+\frac{31}{3}+\frac{19}{45}=\frac{32}{3}+\frac{19}{45}=\frac{499}{45}.\)

\(\frac{4}{9}+0,\left(13\right)=\frac{4}{9}+\frac{13}{99}=\frac{44}{99}+\frac{13}{99}=\frac{57}{99}=\frac{19}{33}\)

\(0,\left(37\right).x\Rightarrow\frac{37}{99}.x=1\)

\(\Rightarrow x=1:\frac{37}{99}=\frac{99}{37}\)

\(0,\left(26\right).x=1,2\left(31\right)\)

\(\Rightarrow\frac{26}{99}.x=\frac{1219}{990}\)

\(\Rightarrow x=\frac{1219}{990}:\frac{26}{99}=\frac{1219}{260}\)