Respuesta:
[tex]\color{blue}\boxed{\colorbox{green}{¡Hola!}}[/tex]
1)
[tex] 3 + \frac{1}{4} + 2 \frac{1}{4} \div \frac{3}{4} - ( \frac{5}{2} {)}^{2} [/tex]
[tex]3 + \frac{1}{4} + \frac{9}{6} \times \frac{4}{3} - \frac{25}{4} [/tex]
[tex]3 + \frac{1}{4} + 3 - \frac{25}{4} [/tex]
[tex]6 - 6[/tex]
[tex] = 0[/tex]
2)
[tex]( \frac{3}{2} {)}^{2} - \frac{3}{11} (7 \frac{2}{3} - \frac{5}{10} \div \frac{3}{13} ) - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{11} \times ( \frac{23}{3} - \frac{1}{2} \times \frac{13}{3} ) - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{11} \times ( \frac{23}{3} - \frac{13}{6} ) - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{11} \times \frac{11}{2} - 5[/tex]
[tex] \frac{9}{4} - 3 \times \frac{1}{2} - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{2} - 5[/tex]
[tex] - \frac{17}{4} [/tex]
3)
[tex]6 + 3 \frac{3}{4} + \frac{7}{8} [/tex]
[tex]6 + \frac{15}{4} + \frac{7}{8} [/tex]
[tex] = \frac{85}{8} [/tex]
4)
[tex]1 + \frac{5}{4} + 2 \frac{1}{2} \times \frac{3}{2} - ( \frac{5}{3} {)}^{2} [/tex]
[tex]1 + \frac{5}{4} + \frac{5}{2} \times \frac{3}{2} - \frac{25}{9} [/tex]
[tex]1 + \frac{5}{4} + \frac{15}{4} - \frac{25}{9} [/tex]
[tex] = 3 \frac{2}{9} [/tex]
5)
[tex]( \frac{3}{2} {)}^{3} - \frac{5}{11} ( 8\frac{2}{3} - \frac{15}{10} \div \frac{3}{13} ) = 4 \frac{95}{264} [/tex]
6)
[tex] - \frac{5}{11} (8 \frac{2}{3} - \frac{15}{10} \div \frac{3}{13} )[/tex]
[tex] - \frac{15}{11} \times ( \frac{26}{3} - \frac{15}{10} \times \frac{13}{3} )[/tex]
[tex] - \frac{5}{11} \times ( \frac{26}{3} - \frac{5}{10} \times 13)[/tex]
[tex] - \frac{5}{11} \times ( \frac{26}{3} - \frac{1}{2} \times 13)[/tex]
[tex] - \frac{5}{11} \times ( \frac{26}{3} - \frac{13}{2} )[/tex]
[tex] - \frac{5}{11} \times \frac{13}{6} [/tex]
[tex] = - \frac{65}{66} [/tex]
[tex]\color{cyan}\boxed{\colorbox{blue}{Good day}}[/tex]
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Respuesta:
[tex]\color{blue}\boxed{\colorbox{green}{¡Hola!}}[/tex]
1)
[tex] 3 + \frac{1}{4} + 2 \frac{1}{4} \div \frac{3}{4} - ( \frac{5}{2} {)}^{2} [/tex]
[tex]3 + \frac{1}{4} + \frac{9}{6} \times \frac{4}{3} - \frac{25}{4} [/tex]
[tex]3 + \frac{1}{4} + 3 - \frac{25}{4} [/tex]
[tex]6 - 6[/tex]
[tex] = 0[/tex]
2)
[tex]( \frac{3}{2} {)}^{2} - \frac{3}{11} (7 \frac{2}{3} - \frac{5}{10} \div \frac{3}{13} ) - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{11} \times ( \frac{23}{3} - \frac{1}{2} \times \frac{13}{3} ) - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{11} \times ( \frac{23}{3} - \frac{13}{6} ) - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{11} \times \frac{11}{2} - 5[/tex]
[tex] \frac{9}{4} - 3 \times \frac{1}{2} - 5[/tex]
[tex] \frac{9}{4} - \frac{3}{2} - 5[/tex]
[tex] - \frac{17}{4} [/tex]
3)
[tex]6 + 3 \frac{3}{4} + \frac{7}{8} [/tex]
[tex]6 + \frac{15}{4} + \frac{7}{8} [/tex]
[tex] = \frac{85}{8} [/tex]
4)
[tex]1 + \frac{5}{4} + 2 \frac{1}{2} \times \frac{3}{2} - ( \frac{5}{3} {)}^{2} [/tex]
[tex]1 + \frac{5}{4} + \frac{5}{2} \times \frac{3}{2} - \frac{25}{9} [/tex]
[tex]1 + \frac{5}{4} + \frac{15}{4} - \frac{25}{9} [/tex]
[tex] = 3 \frac{2}{9} [/tex]
5)
[tex]( \frac{3}{2} {)}^{3} - \frac{5}{11} ( 8\frac{2}{3} - \frac{15}{10} \div \frac{3}{13} ) = 4 \frac{95}{264} [/tex]
6)
[tex] - \frac{5}{11} (8 \frac{2}{3} - \frac{15}{10} \div \frac{3}{13} )[/tex]
[tex] - \frac{15}{11} \times ( \frac{26}{3} - \frac{15}{10} \times \frac{13}{3} )[/tex]
[tex] - \frac{5}{11} \times ( \frac{26}{3} - \frac{5}{10} \times 13)[/tex]
[tex] - \frac{5}{11} \times ( \frac{26}{3} - \frac{1}{2} \times 13)[/tex]
[tex] - \frac{5}{11} \times ( \frac{26}{3} - \frac{13}{2} )[/tex]
[tex] - \frac{5}{11} \times \frac{13}{6} [/tex]
[tex] = - \frac{65}{66} [/tex]
[tex]\color{cyan}\boxed{\colorbox{blue}{Good day}}[/tex]