Respuesta:
[tex]6\frac{7}{30}[/tex]
Explicación paso a paso:
[tex]5-\frac{2}{3}+\left(1\frac{1}{2}+\frac{2}{5}\right)\\\\1\frac{1}{2}=\frac{1\cdot 2+1}{2}\\\\=\frac{3}{2}\\\\=5-\frac{2}{3}+\left(\frac{3}{2}+\frac{2}{5}\right)\\\\\frac{3}{2}+\frac{2}{5}\\\\=\frac{19}{10}\\\\=5-\frac{2}{3}+\frac{19}{10}\\\\5-\frac{2}{3}\\\\=\frac{5\cdot \:3}{3}-\frac{2}{3}\\\\=\frac{5\cdot \:3-2}{3}\\\\=\frac{13}{3}\\\\=\frac{13}{3}+\frac{19}{10}\\\\=\frac{130}{30}+\frac{57}{30}\\\\=\frac{130+57}{30}\\\\130+57=187\\\\=\frac{187}{30}\\\\=6\frac{7}{30}[/tex]
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Respuesta:
[tex]6\frac{7}{30}[/tex]
Explicación paso a paso:
[tex]5-\frac{2}{3}+\left(1\frac{1}{2}+\frac{2}{5}\right)\\\\1\frac{1}{2}=\frac{1\cdot 2+1}{2}\\\\=\frac{3}{2}\\\\=5-\frac{2}{3}+\left(\frac{3}{2}+\frac{2}{5}\right)\\\\\frac{3}{2}+\frac{2}{5}\\\\=\frac{19}{10}\\\\=5-\frac{2}{3}+\frac{19}{10}\\\\5-\frac{2}{3}\\\\=\frac{5\cdot \:3}{3}-\frac{2}{3}\\\\=\frac{5\cdot \:3-2}{3}\\\\=\frac{13}{3}\\\\=\frac{13}{3}+\frac{19}{10}\\\\=\frac{130}{30}+\frac{57}{30}\\\\=\frac{130+57}{30}\\\\130+57=187\\\\=\frac{187}{30}\\\\=6\frac{7}{30}[/tex]