Explicación paso a paso:
=[tex]\frac{2\frac{1}{4}\times \left(\frac{2}{3}\right)^2+1\frac{3}{7}}{\frac{20}{21}-\frac{3}{4}\times \:4\sqrt{\frac{16}{81}}}[/tex]
=[tex]\frac{\frac{9}{4}\times \left(\frac{2}{3}\right)^2+1\frac{3}{7}}{\frac{20}{21}-\frac{3}{4}\times \:4\sqrt{\frac{16}{81}}}[/tex]
=[tex]\frac{\frac{9}{4}\times \left(\frac{2}{3}\right)^2+\frac{10}{7}}{\frac{20}{21}-\frac{3}{4}\times \:4\sqrt{\frac{16}{81}}}[/tex]
=[tex]\frac{\left(\frac{2}{3}\right)^2\frac{9}{4}+\frac{10}{7}}{\frac{20}{21}-\frac{4}{3}}\\[/tex]
=[tex]\frac{1+\frac{10}{7}}{\frac{20}{21}-\frac{4}{3}}[/tex]
=[tex]\frac{1+\frac{10}{7}}{-\frac{8}{21}}[/tex]
=[tex]\frac{\frac{17}{7}}{-\frac{8}{21}}[/tex]
=[tex]-\frac{\frac{17}{7}}{\frac{8}{21}}[/tex]
=[tex]-\frac{17\times \:21}{7\times \:8}[/tex]
=[tex]-\frac{17\times \:21}{56}[/tex]
=[tex]-\frac{357}{56}[/tex]
=[tex]-\frac{51}{8}[/tex]=[tex]-6\frac{3}{8}[/tex]
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Explicación paso a paso:
=[tex]\frac{2\frac{1}{4}\times \left(\frac{2}{3}\right)^2+1\frac{3}{7}}{\frac{20}{21}-\frac{3}{4}\times \:4\sqrt{\frac{16}{81}}}[/tex]
=[tex]\frac{\frac{9}{4}\times \left(\frac{2}{3}\right)^2+1\frac{3}{7}}{\frac{20}{21}-\frac{3}{4}\times \:4\sqrt{\frac{16}{81}}}[/tex]
=[tex]\frac{\frac{9}{4}\times \left(\frac{2}{3}\right)^2+\frac{10}{7}}{\frac{20}{21}-\frac{3}{4}\times \:4\sqrt{\frac{16}{81}}}[/tex]
=[tex]\frac{\left(\frac{2}{3}\right)^2\frac{9}{4}+\frac{10}{7}}{\frac{20}{21}-\frac{4}{3}}\\[/tex]
=[tex]\frac{1+\frac{10}{7}}{\frac{20}{21}-\frac{4}{3}}[/tex]
=[tex]\frac{1+\frac{10}{7}}{-\frac{8}{21}}[/tex]
=[tex]\frac{\frac{17}{7}}{-\frac{8}{21}}[/tex]
=[tex]-\frac{\frac{17}{7}}{\frac{8}{21}}[/tex]
=[tex]-\frac{17\times \:21}{7\times \:8}[/tex]
=[tex]-\frac{17\times \:21}{56}[/tex]
=[tex]-\frac{357}{56}[/tex]
=[tex]-\frac{51}{8}[/tex]=[tex]-6\frac{3}{8}[/tex]