Respuesta:
[tex]\frac{4}{5}[/tex]
Explicación paso a paso:
[tex]\left(\frac{1}{2}+\frac{5}{6}\right)\div \frac{4}{3}-\frac{1}{5}\\\\\frac{1}{2}+\frac{5}{6}\\\\=\frac{3}{6}+\frac{5}{6}\\\\=\frac{3+5}{6}\\\\\:3+5=8\\\\=\frac{8}{6}\\\\=\frac{4}{3}\\\\=\frac{4}{3}\div \frac{4}{3}-\frac{1}{5}\\\\=\frac{4}{3}\cdot \frac{3}{4}\\\\=\frac{4\cdot \:3}{3\cdot \:4}\\\\=\frac{3}{3}\\\\=1\\\\=1-\frac{1}{5}\\\\=\frac{1\cdot \:5}{5}-\frac{1}{5}\\\\=\frac{1\cdot \:5-1}{5}\\\\=\frac{4}{5}[/tex]
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Respuesta:
[tex]\frac{4}{5}[/tex]
Explicación paso a paso:
[tex]\left(\frac{1}{2}+\frac{5}{6}\right)\div \frac{4}{3}-\frac{1}{5}\\\\\frac{1}{2}+\frac{5}{6}\\\\=\frac{3}{6}+\frac{5}{6}\\\\=\frac{3+5}{6}\\\\\:3+5=8\\\\=\frac{8}{6}\\\\=\frac{4}{3}\\\\=\frac{4}{3}\div \frac{4}{3}-\frac{1}{5}\\\\=\frac{4}{3}\cdot \frac{3}{4}\\\\=\frac{4\cdot \:3}{3\cdot \:4}\\\\=\frac{3}{3}\\\\=1\\\\=1-\frac{1}{5}\\\\=\frac{1\cdot \:5}{5}-\frac{1}{5}\\\\=\frac{1\cdot \:5-1}{5}\\\\=\frac{4}{5}[/tex]