Period of $1.\overline{156}1.\backslash overline\{156\}$ is …

$\frac{5}{3}\backslash frac\{5\}\{3\}$ = ……

$-(-(\frac{-2}{3}))-(-(\backslash frac\{-2\}\{3\}))$ = ……

$\frac{8}{5}+0=0+\frac{8}{5}\backslash frac\{8\}\{5\}+0=0+\backslash frac\{8\}\{5\}$ = …

$\frac{2}{5}\times (\frac{-1}{9})+\frac{23}{180}-\frac{1}{9}\times \frac{3}{4}\backslash frac\{2\}\{5\}\backslash times(\backslash frac\{-1\}\{9\})+\backslash frac\{23\}\{180\}-\backslash frac\{1\}\{9\}\backslash times\backslash frac\{3\}\{4\}$ = ……

$\frac{2}{5}+\frac{3}{7}-\frac{6}{5}-\frac{13}{7}\backslash frac\{2\}\{5\}+\backslash frac\{3\}\{7\}-\backslash frac\{6\}\{5\}-\backslash frac\{13\}\{7\}$ = ……

1 × …… = $\frac{91}{11}\backslash frac\{91\}\{11\}$

Error in LaTeX '2<\frac{17}{8}<\frac{9}{4}<k<3,': KaTeX parse error: Expected 'EOF', got '&' at position 2: 2&̲lt;\frac{17}{8}… K = ……

$\frac{1}{7}\backslash frac\{1\}\{7\}$ = ……

$\frac{1575}{100}\backslash frac\{1575\}\{100\}$ = ……