[tex]a) 15*(0,5-\frac{1}{6}+0,6)= 15*(\frac{5}{10} -\frac{1}{6} +\frac{6}{10} )=15*(\frac{30}{60} -\frac{10}{60} +\frac{36}{60} )\\\\15*(\frac{30-10+36}{60} )=15*\frac{56}{60} =\frac{56}{4} =14[/tex]
[tex]b)\ [0,5+0,(3)] : [1,1(6)-\frac{1}{6}]=(\frac{5}{10} +\frac{3}{9}):(\frac{116-11}{90} -\frac{1}{6} )\\\\(\frac{45}{90} +\frac{30}{90}):(\frac{105}{90} -\frac{15}{90})=\frac{75}{90} :\frac{90}{90}=\frac{75}{90}=\frac{5}{6} \\\\[/tex]
[tex]c)\ \sqrt{27}=3\sqrt{3}\\\\\sqrt{12}=2\sqrt{3}\\\\\sqrt{75}=5\sqrt{3}\\\\\sqrt{27}+\sqrt{12}-\sqrt{75}=3\sqrt{3}+2\sqrt{3}-5\sqrt{3}=0[/tex]
