Question

Resolver los siguientes cálculos combinados

a)3 ÷ 6/5 - 3/4 - 5/2 ÷ 4


b)6/5 × 2/3 + 3/10


c)4/9 × 3/8 + 10/3 ÷ 5


d)(2 - 7/4) × 8/5 - 3/10


e)(5/6 + 2/3) × 8/9 - 5/6

Answer 1

Explicación paso a paso:

a)

$3 \div \frac{6}{5} - \frac{3}{4} - \frac{5}{2} \div 4 = \\ \\ \frac{15}{6} - \frac{3}{4} - \frac{5}{8} = \\ \\ \frac{60 - 18 - 15}{24} = \frac{27}{24} = \frac{9}{8}$

b)

$\frac{6}{5} \times \frac{2}{3} + \frac{3}{10} = \\ \\ \frac{12}{15} + \frac{3}{10} = \frac{24 + 9}{30} = \frac{33}{30} = \frac{11}{10}$

c)

$\frac{4}{9} \times \frac{3}{8 } + \frac{10}{3} \div 3 = \\ \\ \frac{12}{72} + \frac{10}{9} = \\ \\ \frac{1}{6} + \frac{10}{9} = \frac{9 + 60}{54} = \frac{69}{54} = \frac{23}{18}$

d)

$(2 - \frac{7}{4} ) \times \frac{8}{5 } - \frac{3}{10} = \\ \\ \frac{8 - 7}{4} \times \frac{8}{5} - \frac{3}{10} = \\ \\ \frac{1}{4} \times \frac{8}{5} - \frac{3}{10} = \\ \\ \frac{8}{20} - \frac{3}{10} = \frac{8 - 6}{20} = \frac{2}{20} = \frac{1}{10}$

e)

$( \frac{5}{6} + \frac{2}{3} ) \times \frac{8}{9} - \frac{5}{6} = \\ \\( \frac{5 + 4}{6} ) \times \frac{8}{9} - \frac{5}{6} = \\ \\ \frac{9}{6} \times \frac{8}{9} - \frac{5}{6} = \\ \\ \frac{72}{54} - \frac{5}{6} = \frac{72 - 45}{54} = \frac{27}{54} = \frac{1}{2}$