Respuesta:
Explicación paso a paso:
[tex]\left[\frac{4}{5}:\frac{8}{15}-\left(1-\frac{3}{4}\right)\right]+\frac{3}{8}[/tex]
[tex]\frac{4}{5}:\frac{8}{15}=\\\\=\frac{4}{+5}*\frac{15}{8}=\\\\=\frac{60}{40}=\\\\=\frac{3}{2}[/tex]
[tex]1-\frac{3}{4}=\frac{4}{4}-\frac{3}{4}=\\\\=\frac{1}{4}[/tex]
[tex]\left[\frac{4}{5}:\frac{8}{15}-\left(1-\frac{3}{4}\right)\right]+\frac{3}{8}=\\\\=\left[\frac{3}{2}-\left(\frac{1}{4}\right)\right]+\frac{3}{8}=\\\\=\left[\frac{3}{2}-\frac{1}{4}\right]+\frac{3}{8}=\\\\=\left[\frac{5}{4}\right]+\frac{3}{8}=\\\\=\frac{5}{4}+\frac{3}{8}=\\\\=\boxed{\frac{13}{8}}[/tex]
