[tex]\mathrm{Seguir\:el\:orden\:PEMDAS\:de\:las\:operaciones}[/tex]
[tex]\mathrm{Multiplicar\:y\:dividir\:\left(de\:izquierda\:a\:derecha\right)}[/tex]
[tex]\bold{\left(-3\right)\div \left(-\frac{4}{9}\right)}[/tex]
[tex]\bold{=\frac{3}{1}\div \frac{4}{9}}[/tex]
[tex]\bold{=\frac{3}{1}\cdot \frac{9}{4}}[/tex]
[tex]\bold{=\frac{27}{1\cdot \:4}}[/tex]
[tex]\bold{=\frac{27}{4}}[/tex]
[tex]\bold{=\frac{27}{4}\left(-\frac{2}{7}\right)}[/tex]
[tex]\bold{=-\frac{27\cdot \:2}{4\cdot \:7}}[/tex]
[tex]\bold{=-\frac{27\cdot \:2}{2\cdot \:2\cdot \:7}}[/tex]
[tex]\bold{=-\frac{27}{2\cdot \:7}}[/tex]
[tex]\boxed{\bold{=-\frac{27}{14}}}[/tex]
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Verified answer
[tex]\mathrm{Seguir\:el\:orden\:PEMDAS\:de\:las\:operaciones}[/tex]
[tex]\mathrm{Multiplicar\:y\:dividir\:\left(de\:izquierda\:a\:derecha\right)}[/tex]
[tex]\bold{\left(-3\right)\div \left(-\frac{4}{9}\right)}[/tex]
[tex]\bold{=\frac{3}{1}\div \frac{4}{9}}[/tex]
[tex]\bold{=\frac{3}{1}\cdot \frac{9}{4}}[/tex]
[tex]\bold{=\frac{27}{1\cdot \:4}}[/tex]
[tex]\bold{=\frac{27}{4}}[/tex]
[tex]\bold{=\frac{27}{4}\left(-\frac{2}{7}\right)}[/tex]
[tex]\bold{=-\frac{27\cdot \:2}{4\cdot \:7}}[/tex]
[tex]\bold{=-\frac{27\cdot \:2}{2\cdot \:2\cdot \:7}}[/tex]
[tex]\bold{=-\frac{27}{2\cdot \:7}}[/tex]
[tex]\boxed{\bold{=-\frac{27}{14}}}[/tex]