Gemischte Zahl in unechten Bruch:

${\displaystyle \ 6{\frac {4}{\color {Red}5}}\ }$ ${\displaystyle \left(=6+{\frac {4}{\color {Red}5}}\right)\ ={\frac {6\cdot {\color {Red}5}+4}{\color {Red}5}}={\frac {34}{\color {Red}5}}}$

Unechten Bruch in gemischte Zahl

${\displaystyle \ {\frac {1895}{23}}\ }$ ${\displaystyle \qquad {\begin{array}{rrl}1895&:{\boldsymbol {2}}3&={\color {red}{\boldsymbol {8}}2}{,}\dots \\\hline \\\hline \ {\color {red}{\boldsymbol {8}}2}&\cdot \ {\boldsymbol {2}}3&={\color {YellowOrange}1886}\\\hline \\\hline 1895&-{\color {YellowOrange}1886}&={\color {blue}{\boldsymbol {9}}}\end{array}}}$

${\displaystyle {\text{ also }}\quad {\frac {1895}{23}}={\color {red}{\boldsymbol {8}}2}{\frac {\color {blue}{\boldsymbol {9}}}{{\boldsymbol {2}}3}}}$