Question

me ayudan por fa es para hoy lo tengo que entregar en un rato ​

Answer 1

Respuesta:

Explicación paso a paso:

$\frac{2}{3}-\left(\frac{1}{2}\right)^{2}\left(1-\frac{1}{4}\right)-\sqrt{\frac{1}{4}}\\\\\left(\frac{1}{2}\right)^{2}=\frac{1^{2}}{2^{2}}=\frac{1}{4}\\\\\left(1-\frac{1}{4}\right)=\left(\frac{4}{4}-\frac{1}{4}\right)=\left(\frac{3}{4}\right)\\\\\sqrt{\frac{1}{4}}=\frac{\sqrt{1}}{\sqrt{4}}=\frac{1}{2}\\\texttt{Reuniendo todo y simplificando nos queda:}\\\\\frac{2}{3}-\left(\frac{1}{2}\right)^{2}*\left(1-\frac{1}{4}\right)-\sqrt{\frac{1}{4}}=\frac{2}{3}-\frac{1}{4}*\left(\frac{3}{4}\right)-\frac{1}{2}=\\\\=\frac{2}{3}-\frac{1*3}{4*4}-\frac{1}{2}=\frac{2}{3}-\frac{3}{16}-\frac{1}{2}=\frac{23}{48}-\frac{1}{2}=-\frac{1}{48}$

$1\frac{8}{7}+\sqrt{\frac{16}{121}}*\left(\frac{5}{9}-0.21\right)+\sqrt[3]{\frac{1}{8}}\\\\1\frac{8}{7}=1+\frac{8}{7}=\frac{7}{7}+\frac{8}{7}=\frac{15}{7}\\\\\sqrt{\frac{16}{121}}=\frac{4}{11}\\\\0.21=\frac{21}{100}\\\\\left(\frac{5}{9}-\frac{21}{100}\right)=\left(\frac{311}{900}\right)\\\\\sqrt[3]{\frac{1}{8}}=\frac{1}{2}\\\\\texttt{Por lo tanto:}$

$1\frac{8}{7}+\sqrt{\frac{16}{121}}*\left(\frac{5}{9}-\frac{21}{100}\right)+\sqrt[3]{\frac{1}{8}}=\frac{15}{7}+\frac{4}{11}*\left(\frac{311}{900}\right)+\frac{1}{2}=\\\\=\frac{15}{7}+\frac{311}{2475}+\frac{1}{2}=\frac{15}{7}+\frac{1}{2}+\frac{311}{2475}=\\\\=\frac{37}{14}+\frac{311}{2475}=\frac{(2475)(37)+(14)(311)}{34650}=\frac{91575+4354}{34650}=\\\\=\boxed{\mathbf{\frac{96929}{34650}}}$