Respuesta:
[tex]Es\:\:\frac{520}{483}[/tex]
Explicación paso a paso:
[tex]${\displaystyle{ \frac{\left(\frac{2}{3}-5\right)\frac{2}{7}}{\frac{3}{5}-\frac{7}{4}}}[/tex]
[tex]\bigstar[/tex] Resolvemos el paréntesis:
[tex]${\displaystyle \frac{-\frac{13}{3}\cdot \frac{2}{7}}{\frac{3}{5}-\frac{7}{4}}[/tex]
[tex]\bigstar[/tex] Multiplicamos las fracciones:
[tex]${\displaystyle \frac{-\frac{13\:\cdot \:2}{3\:\cdot \:7}}{\frac{12\:-\:35}{20}}[/tex]
[tex]${\displaystyle \frac{-\frac{26}{21}}{-\frac{23}{20}}[/tex]
[tex]\bigstar[/tex] Dividimos las fracciones:
[tex]${\displaystyle \frac{26\:\cdot \:20}{21\:\cdot \:23}[/tex]
[tex]\bigstar[/tex] Multiplicamos:
[tex]${\displaystyle \frac{520}{483}[/tex]
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[tex]\heartsuit[/tex] Saludos [tex]\heartsuit[/tex]
Atte.: anapaulacbellido
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[tex]\boxed{\boxed{\bf TEMA:\:SIMPLIFICACI\acute{O}N}}[/tex]
Respuesta:
[tex]Es\:\:\frac{520}{483}[/tex]
Explicación paso a paso:
[tex]${\displaystyle{ \frac{\left(\frac{2}{3}-5\right)\frac{2}{7}}{\frac{3}{5}-\frac{7}{4}}}[/tex]
[tex]\bigstar[/tex] Resolvemos el paréntesis:
[tex]${\displaystyle \frac{-\frac{13}{3}\cdot \frac{2}{7}}{\frac{3}{5}-\frac{7}{4}}[/tex]
[tex]\bigstar[/tex] Multiplicamos las fracciones:
[tex]${\displaystyle \frac{-\frac{13\:\cdot \:2}{3\:\cdot \:7}}{\frac{12\:-\:35}{20}}[/tex]
[tex]${\displaystyle \frac{-\frac{26}{21}}{-\frac{23}{20}}[/tex]
[tex]\bigstar[/tex] Dividimos las fracciones:
[tex]${\displaystyle \frac{26\:\cdot \:20}{21\:\cdot \:23}[/tex]
[tex]\bigstar[/tex] Multiplicamos:
[tex]${\displaystyle \frac{520}{483}[/tex]
--------------------------------------------------------------------------------------------------------------
[tex]\heartsuit[/tex] Saludos [tex]\heartsuit[/tex]
Atte.: anapaulacbellido