Explicación paso a paso:
a) [tex](\frac{5}{7} + \frac{3}{2})[/tex] × [tex](4 - \frac{4}{2})[/tex]
[tex]\frac{31}{4}[/tex] × [tex](4 - 2)[/tex]
[tex]\frac{31}{4}[/tex] × [tex]2[/tex]
[tex]\frac{31}{7}[/tex]
b) [tex]\sqrt{\frac{121}{100} }[/tex] × [tex]\frac{10}{8} + \frac{3}{5} + \frac{4}{10}[/tex]
[tex]\frac{11}{10}[/tex] × [tex]\frac{10}{8} + \frac{3}{5} + \frac{4}{10}[/tex]
[tex]11[/tex] × [tex]\frac{1}{8} + \frac{3}{5} + \frac{4}{10}[/tex]
[tex]\frac{11}{8} + \frac{3}{5} + \frac{4}{10}[/tex]
[tex]\frac{19}{8}[/tex]
c) [tex](\frac{2}{5} + 1 ) + (\frac{3}{5} + \frac{4}{10} )[/tex]
[tex]\frac{7}{5} + 1[/tex]
[tex]\frac{12}{5}[/tex]
d) [tex](\frac{6}{5} + \frac{3}{10}) + (\frac{4}{2} - \frac{2}{6})[/tex]
[tex]\frac{3}{2} + \frac{5}{3}[/tex]
[tex]\frac{19}{6}[/tex]
e) [tex]\sqrt[3]{\frac{512}{27} }[/tex] × [tex]\frac{7}{8} - \frac{2}{5} + \frac{6}{10}[/tex]
[tex]\frac{8}{3}[/tex] × [tex]\frac{7}{8} - \frac{2}{5} + \frac{6}{10}[/tex]
[tex]\frac{1}{3}[/tex] × [tex]7 - \frac{2}{5} + \frac{6}{10}[/tex]
[tex]\frac{7}{3}[/tex] - [tex]\frac{2}{5}[/tex] + [tex]\frac{6}{10}[/tex]
[tex]\frac{38}{15}[/tex]
f) [tex](\frac{1}{2} + \frac{2}{5} )^{2} + \frac{3}{5}[/tex] × [tex]\frac{3}{2} + \frac{4}{5} + \sqrt{\frac{16}{4}}[/tex]
[tex](\frac{9}{10})^{2} + \frac{9}{10} + \frac{4}{5} + \sqrt{4}[/tex]
[tex]\frac{81}{100} + \frac{9}{10} + \frac{4}{5} + 2[/tex]
[tex]\frac{451}{100}[/tex]
