Question

calculati: 2,(3):[2,1(3)*2,25-1,3]=

Answer 1

$2,(3)=\frac{23-2}{9}=\frac{21}{9}=\frac{7}{3}\\\\\\2,1(3) =\frac{213-21}{90}=\frac{192}{90}= \frac{96}{45}\\\\\\2,25=\frac{225}{100}=\frac{9}{4} \\\\\\1,3=\frac{13}{10}\\\\\\\frac{7}{3}:(\frac{96}{45}*\frac{9}{4}-\frac{13}{10})= \frac{7}{3}:(\frac{864}{180}}-\frac{13}{10} =\frac{7}{3}:\frac{864-234}{180}=\frac{7}{3}:\frac{630}{180}\\\\\\\frac{7}{3}:\frac{7}{2}=\frac{7}{3}*\frac{2}{7}=\frac{2}{3}$