Respuesta :
[tex]1\frac{29}{40}=1\frac{29\cdot2}{40\cdot2}=1\frac{58}{80}\ :(\\\dots\\1\frac{29}{40}=1\frac{29\cdot5}{40\cdot5}=1\frac{145}{200}\ ?... hmm\ 1\frac{145}{200}=1\frac{145\cdot5}{200\cdot5}=1\frac{725}{1,000}\ \ hooray\ :)\\\\\huge\boxed{1\frac{29}{40}=1\frac{29\cdot25}{40\cdot25}=1\frac{725}{1,000}=\boxed{1.725}}[/tex]
[tex]1+\frac { 29 }{ 40 } \\ \\ =\frac { 40 }{ 40 } +\frac { 20 }{ 40 } +\frac { 9 }{ 40 } \\ \\ =1+\frac { 1 }{ 2 } +\frac { 9 }{ 4 } \cdot \frac { 1 }{ 10 } \\ \\ =1+\frac { 1 }{ 2 } +\left( \frac { 8 }{ 4 } +\frac { 1 }{ 4 } \right) \cdot \frac { 1 }{ 10 } \\ \\ =1+\frac { 1 }{ 2 } +\left( 2+\frac { 1 }{ 4 } \right) \cdot \frac { 1 }{ 10 } \\ \\ =1+\frac { 1 }{ 2 } +\frac { 2 }{ 10 } +\frac { 1 }{ 4 } \cdot \frac { 1 }{ 10 } \\ \\ =1.000+0.500+0.200+0.025\\ \\ =1.725[/tex]
