\(H=\frac{4116-14}{10290-35}=\frac{14.294-14}{35.294-35}=\frac{14.\left(294-1\right)}{35.\left(294-1\right)}=\frac{14.293}{35.293}=\frac{2}{5}\)
\(K=\frac{29.101-101}{2.19.101+4.101}=\frac{101.\left(29-1\right)}{101.\left(38+4\right)}=\frac{28}{42}=\frac{2}{3}\)
\(I=\frac{1313-1717}{303}=\frac{13.101-17.101}{3.101}=\frac{101.\left(13-17\right)}{3.101}=\frac{-4}{3}\)
\(M=\frac{12-24.3}{1-35}=\frac{12-12.2.3}{-34}=\frac{12.\left(1-6\right)}{-34}=\frac{-60}{-34}=\frac{30}{17}\)
\(H\)\(=\) \(\frac{4116-14}{10290-35}\)
\(=\) \(\frac{4102}{10255}\)
\(=\) \(\frac{4102:2051}{10255:2051}\)
\(=\) \(\frac{2}{5}\)
\(K=\frac{2929-101}{2.1919+404}\)
\(=\) \(\frac{2828}{4242}\)
\(=\) \(\frac{2828:1414}{4242:1414}\)
\(=\) \(\frac{2}{3}\)
\(M=\frac{12-24.3}{1-35}\)
\(=\) \(\frac{-60}{-34}\)
\(=\) \(\frac{60}{34}\)
\(=\) \(\frac{30}{17}\)
:D
\(H=\frac{14\cdot294-14}{35\cdot294-35}=\frac{14\cdot\left(294-1\right)}{35\cdot\left(294-1\right)}=\frac{14}{35}=\frac{2}{5}\)
\(K=\frac{29\cdot101-101}{2\cdot19\cdot101+4\cdot101}=\frac{101\cdot\left(29-1\right)}{101\cdot\left(2\cdot19+4\right)}=\frac{28}{42}=\frac{2}{3}\)
\(I=\frac{13\cdot101-17\cdot101}{3\cdot101}=\frac{101\cdot\left(13-17\right)}{3\cdot101}=\frac{-4}{3}\)
\(M=\frac{12-72}{-34}=\frac{-60}{-34}=\frac{15}{17}\)