a) [tex]\frac{11}{5}\div \:0.2[/tex]
Para hacer más fácil el proceso, convertimos el decimal en fracción, entonces:
[tex]0.2=\frac{0.2}{1}[/tex]
[tex]=\frac{11}{5}\div \frac{0.2}{1}[/tex]
[tex]=\frac{11}{5}\times \frac{1}{0.2}[/tex]
[tex]=\frac{11\times \:1}{5\times \:0.2}[/tex]
[tex]\:11\times \:1=11[/tex]
[tex]=\frac{11}{5\times \:0.2}[/tex]
[tex]5\times \:0.2=1[/tex]
[tex]=\frac{11}{1}[/tex]
Ya!!, entonces quitamos el uno de abajo y nos queda el entero 11
[tex]\boxed{=11}[/tex]
b) [tex]1\frac{2}{9}\times \frac{11}{2}[/tex]
[tex]=\frac{11}{9}\times \frac{11}{2}[/tex]
[tex]=\frac{11\times \:11}{9\times \:2}[/tex]
[tex]11\times \:11=121[/tex]
[tex]=\frac{121}{9\times \:2}[/tex]
[tex]\:9\times \:2=18[/tex]
[tex]\boxed{=\frac{121}{18}}[/tex]
y en mixto sería [tex]=6\frac{13}{18}[/tex]
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Verified answer
RESOLVER:
a) [tex]\frac{11}{5}\div \:0.2[/tex]
Para hacer más fácil el proceso, convertimos el decimal en fracción, entonces:
[tex]0.2=\frac{0.2}{1}[/tex]
[tex]=\frac{11}{5}\div \frac{0.2}{1}[/tex]
[tex]=\frac{11}{5}\times \frac{1}{0.2}[/tex]
[tex]=\frac{11\times \:1}{5\times \:0.2}[/tex]
[tex]\:11\times \:1=11[/tex]
[tex]=\frac{11}{5\times \:0.2}[/tex]
[tex]5\times \:0.2=1[/tex]
[tex]=\frac{11}{1}[/tex]
Ya!!, entonces quitamos el uno de abajo y nos queda el entero 11
[tex]\boxed{=11}[/tex]
b) [tex]1\frac{2}{9}\times \frac{11}{2}[/tex]
[tex]=\frac{11}{9}\times \frac{11}{2}[/tex]
[tex]=\frac{11\times \:11}{9\times \:2}[/tex]
[tex]11\times \:11=121[/tex]
[tex]=\frac{121}{9\times \:2}[/tex]
[tex]\:9\times \:2=18[/tex]
[tex]\boxed{=\frac{121}{18}}[/tex]
y en mixto sería [tex]=6\frac{13}{18}[/tex]
MUCHA SUERTE...