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Розв'язок:
1) $72 : \frac{6}{11} = \frac{72 \cdot 11}{6} = 132$;
2) $4{,}5 : 1\frac{7}{8} = 4\frac{5}{10} : 1\frac{7}{8} =$
$= 4\frac{1}{2} : 1\frac{7}{8} = \frac{9}{2} : \frac{15}{8} =$
$= \frac{9 \cdot 8}{2 \cdot 15} = \frac{36}{15} = 2\frac{6}{15} = 2\frac{2}{5}$;
3) 216 : 0,9 = 240;
4) $8{,}4 : \frac{3}{14} = 8\frac{2}{5} : \frac{3}{14} =$
$= \frac{42}{5} : \frac{3}{14} = \frac{42 \cdot 14}{5 \cdot 3} =$
$= \frac{588}{15} = 39\frac{3}{15} = 39\frac{1}{5}$;
5) $36\% = 0{,}36 = \frac{36}{100} = \frac{9}{25}$;
$27 : \frac{9}{25} = \frac{27 \cdot 25}{9} = 75$;
6) $5\frac{4}{7}\% = \frac{39}{7}\% = \frac{39}{700}$;
$11{,}7 = 11\frac{7}{10} = \frac{117}{10}$;
$\frac{117}{10} : \frac{39}{700} = \frac{117 \cdot 700}{10 \cdot 39} = 210$.