From the following recurring decimal numbers, identify the pure and mixed recurring decimals and categorize them in two separate column.

$\frac{5}{6}.\frac{34}{510},\frac{52}{41},\frac{15}{13},\frac{4}{7},\frac{6}{7},\frac{8}{9},\frac{5}{11},\frac{7}{11},\frac{3}{13},\frac{4}{15},\frac{13}{15}$

Convert a recurring decimal number to a fraction.

$0.\stackrel{.}{4}0\stackrel{.}{5}$

Let's directly convert the pure recurring decimal numbers to fractions.

$0.\stackrel{.}{8}$

Let's directly convert the pure recurring decimal numbers to fractions.

$0.\stackrel{.}{2}\stackrel{.}{7}$

Let's directly convert the pure recurring decimal numbers to fractions.

$0.\stackrel{.}{1}6\stackrel{.}{2}$

Let's directly convert the pure recurring decimal numbers to fractions.

$0.\stackrel{.}{5}64\stackrel{.}{3}$

Express the given pure recurring decimal numbers in fractions.

$0.5,0.45,0.53,0.12,0.512$

Convert the mix recurring decimal numbers to fraction.

$1.2\stackrel{.}{3}$

Convert the mix recurring decimal numbers to fractions.

$3.37\stackrel{.}{8}$