Gemischte Zahl in unechten Bruch:
6 4 5 {\displaystyle \ 6{\frac {4}{\color {Red}5}}\ } ( = 6 + 4 5 ) = 6 ⋅ 5 + 4 5 = 34 5 {\displaystyle \left(=6+{\frac {4}{\color {Red}5}}\right)\ ={\frac {6\cdot {\color {Red}5}+4}{\color {Red}5}}={\frac {34}{\color {Red}5}}}
Unechten Bruch in gemischte Zahl
1895 23 {\displaystyle \ {\frac {1895}{23}}\ } 1895 : 2 3 = 8 2 , … 8 2 ⋅ 2 3 = 1886 1895 − 1886 = 9 {\displaystyle \qquad {\begin{array}{rrl}1895&:{\boldsymbol {2}}3&={\color {red}{\boldsymbol {8}}2}{,}\dots \\\hline \\\hline \ {\color {red}{\boldsymbol {8}}2}&\cdot \ {\boldsymbol {2}}3&={\color {YellowOrange}1886}\\\hline \\\hline 1895&-{\color {YellowOrange}1886}&={\color {blue}{\boldsymbol {9}}}\end{array}}}
also 1895 23 = 8 2 9 2 3 {\displaystyle {\text{ also }}\quad {\frac {1895}{23}}={\color {red}{\boldsymbol {8}}2}{\frac {\color {blue}{\boldsymbol {9}}}{{\boldsymbol {2}}3}}}
