Explicación paso a paso:
1. La tercera parte de los cuatro quintos de sesenta:
[tex] \frac{ \frac{4}{5} \times 60 }{3} = \frac{48}{3} = 16[/tex]
2. Los nueve cuartos de la mitad de cuarenta y ocho:
[tex] \frac{9}{4} \times \frac{48}{2} = \frac{9}{4} \times 24 = 54[/tex]
B.
1.
[tex]\frac{8}{3} \times ( \frac{5}{4} - \frac{3}{2} ) = \frac{8}{3} \times \frac{ - 1}{4} = - \frac{8}{12} = - \frac{2}{3} [/tex]
2.
[tex] \frac{4}{9} + \frac{12}{5} \div ( - \frac{36}{25} ) = \frac{4}{9} + \frac{12}{5} \times - \frac{25}{36} = \frac{4}{9} + 1 \times \frac{5}{3} = \frac{4}{9} + \frac{5}{3} = \frac{57}{27} = \frac{19}{9} [/tex]
3.
[tex]( \frac{2}{3} - \frac{11}{6}) \times ( - \frac{9}{14} ) = \frac{ - 21}{18} = \frac{7}{6} [/tex]
4.
[tex] - \frac{3}{4} \div ( - \frac{27}{8} ) - \frac{5}{3} = - \frac{3}{4} \times - \frac{8}{27} - \frac{5}{3} = - 1 \times - \frac{2}{9} - \frac{5}{3} = \frac{2}{9} - \frac{5}{3} = \frac{6 - 45}{27} = - \frac{ 39}{47} [/tex]
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Explicación paso a paso:
1. La tercera parte de los cuatro quintos de sesenta:
[tex] \frac{ \frac{4}{5} \times 60 }{3} = \frac{48}{3} = 16[/tex]
2. Los nueve cuartos de la mitad de cuarenta y ocho:
[tex] \frac{9}{4} \times \frac{48}{2} = \frac{9}{4} \times 24 = 54[/tex]
B.
1.
[tex]\frac{8}{3} \times ( \frac{5}{4} - \frac{3}{2} ) = \frac{8}{3} \times \frac{ - 1}{4} = - \frac{8}{12} = - \frac{2}{3} [/tex]
2.
[tex] \frac{4}{9} + \frac{12}{5} \div ( - \frac{36}{25} ) = \frac{4}{9} + \frac{12}{5} \times - \frac{25}{36} = \frac{4}{9} + 1 \times \frac{5}{3} = \frac{4}{9} + \frac{5}{3} = \frac{57}{27} = \frac{19}{9} [/tex]
3.
[tex]( \frac{2}{3} - \frac{11}{6}) \times ( - \frac{9}{14} ) = \frac{ - 21}{18} = \frac{7}{6} [/tex]
4.
[tex] - \frac{3}{4} \div ( - \frac{27}{8} ) - \frac{5}{3} = - \frac{3}{4} \times - \frac{8}{27} - \frac{5}{3} = - 1 \times - \frac{2}{9} - \frac{5}{3} = \frac{2}{9} - \frac{5}{3} = \frac{6 - 45}{27} = - \frac{ 39}{47} [/tex]