Respuesta:
ESPERO QUE TE SIRVA
[tex]\frac{\frac{1}{3}-\frac{3}{5}}{\frac{3+5}{5}}=-\frac{1}{6}\quad \left(\mathrm{Decimal:\quad }\:-0.16666\dots \right)[/tex]
Explicación paso a paso:
[tex]\frac{\frac{1}{3}-\frac{3}{5}}{\frac{3+5}{5}}\\\\=\frac{\frac{1}{3}-\frac{3}{5}}{\frac{8}{5}}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\=\frac{\left(\frac{1}{3}-\frac{3}{5}\right)\cdot \:5}{8}\\\\=\frac{5\left(-\frac{4}{15}\right)}{8}\\\\=\frac{-\frac{4}{15}\cdot \:5}{8}\\\\=-\frac{\frac{4}{3}}{8}\\\\=-\frac{4}{24}\\\\\underline{\huge{\boxed{\bold{==-\frac{1}{6}}}}}}[/tex]
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Respuesta:
ESPERO QUE TE SIRVA
[tex]\frac{\frac{1}{3}-\frac{3}{5}}{\frac{3+5}{5}}=-\frac{1}{6}\quad \left(\mathrm{Decimal:\quad }\:-0.16666\dots \right)[/tex]
Explicación paso a paso:
[tex]\frac{\frac{1}{3}-\frac{3}{5}}{\frac{3+5}{5}}\\\\=\frac{\frac{1}{3}-\frac{3}{5}}{\frac{8}{5}}\\\\\mathrm{Aplicar\:las\:propiedades\:de\:las\:fracciones}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}\\\\=\frac{\left(\frac{1}{3}-\frac{3}{5}\right)\cdot \:5}{8}\\\\=\frac{5\left(-\frac{4}{15}\right)}{8}\\\\=\frac{-\frac{4}{15}\cdot \:5}{8}\\\\=-\frac{\frac{4}{3}}{8}\\\\=-\frac{4}{24}\\\\\underline{\huge{\boxed{\bold{==-\frac{1}{6}}}}}}[/tex]