[tex]\frac{\frac{5}{6}\times \frac{9}{7}+\frac{1}{10}}{\frac{11}{6}}[/tex]
Aplicamos las propiedades de las fracciones
[tex]\frac{\left(\frac{5}{6}\times \frac{9}{7}+\frac{1}{10}\right)\times \:6}{11}[/tex]
Operamos
[tex]\frac{\frac{41}{35}\times \frac{6}{1}}{11}[/tex]
Se aplican las propiedades
[tex]\frac{\frac{41\times \:6}{35\times \:1}}{11}[/tex]
[tex]\frac{\frac{246}{35}}{11}[/tex]
Se aplican Las propiedades de las Fracciones
[tex]\frac{246}{35\times \:11}[/tex]
Nos da igual a
[tex]\frac{246}{385}[/tex]
[tex]\frac{\frac{5}{12}}{\frac{1}{8}+\frac{8}{3}\times \frac{5}{3}}[/tex]
[tex]\frac{5}{12\left(\frac{1}{8}+\frac{8}{3}\times \frac{5}{3}\right)}[/tex]
[tex]\frac{5}{\frac{12}{1}\times \frac{329}{72}}[/tex]
[tex]\frac{5}{\frac{12\times \:329}{1\times \:72}}[/tex]
[tex]\frac{5}{\frac{12\times \:329}{12\times \:6}}[/tex]
[tex]\frac{5}{\frac{329}{6}}[/tex]
[tex]\frac{5\times \:6}{329}[/tex]
[tex]=\frac{30}{329}[/tex]
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Primer Ejercicio
[tex]\frac{\frac{5}{6}\times \frac{9}{7}+\frac{1}{10}}{\frac{11}{6}}[/tex]
Aplicamos las propiedades de las fracciones
[tex]\frac{\left(\frac{5}{6}\times \frac{9}{7}+\frac{1}{10}\right)\times \:6}{11}[/tex]
Operamos
[tex]\frac{\frac{41}{35}\times \frac{6}{1}}{11}[/tex]
Se aplican las propiedades
[tex]\frac{\frac{41\times \:6}{35\times \:1}}{11}[/tex]
Operamos
[tex]\frac{\frac{246}{35}}{11}[/tex]
Se aplican Las propiedades de las Fracciones
[tex]\frac{246}{35\times \:11}[/tex]
Nos da igual a
[tex]\frac{246}{385}[/tex]
Segundo Ejercicio
[tex]\frac{\frac{5}{12}}{\frac{1}{8}+\frac{8}{3}\times \frac{5}{3}}[/tex]
Se aplican Las propiedades de las Fracciones
[tex]\frac{5}{12\left(\frac{1}{8}+\frac{8}{3}\times \frac{5}{3}\right)}[/tex]
Operamos
[tex]\frac{5}{\frac{12}{1}\times \frac{329}{72}}[/tex]
[tex]\frac{5}{\frac{12\times \:329}{1\times \:72}}[/tex]
[tex]\frac{5}{\frac{12\times \:329}{12\times \:6}}[/tex]
[tex]\frac{5}{\frac{329}{6}}[/tex]
[tex]\frac{5\times \:6}{329}[/tex]
[tex]=\frac{30}{329}[/tex]