Question

Buenas tardes, por favor, que alguien me ayude con el siguiente ejercicio, paso a paso

Muchas gracias

Answer 1

Respuesta:

a) 22/3  b) 57/4    c) 11/5    d)2

Explicación paso a paso:

a) $\frac{3}{2}-\frac{2}{5}*\frac{20}{3}$

$\frac{15-4}{10}*\frac{20}{3}$

$\frac{11}{10}*\frac{20}{3}=\frac{220}{30}$

Simplificamos $\frac{110}{15}=\frac{22}{3}=7\frac{1}{3}$

b) $\frac{15}{2}:\frac{5}{12}-\frac{15}{4}$

$\frac{15}{2}*\frac{12}{5}-\frac{15}{4}$

$\frac{180}{10}$ simplificamos $18-\frac{15}{4}=\frac{72-15}{4}=\frac{57}{4}=14\frac{1}{4}$

c) $5+(\frac{1}{5}-\frac{2}{3}):(\frac{4}{6}+\frac{3}{4})$

$5+(\frac{3-10}{15}):(\frac{18+16}{24})$

$5-\frac{7}{15}:\frac{34}{24}$

$5-\frac{7}{15}*\frac{24}{34}=\frac{168}{60}$

$5-\frac{168}{60}=\frac{300-168}{60}=\frac{132}{60}=\frac{22}{10}=\frac{11}{5}=2\frac{1}{5}$

d) $\frac{1}{3}+\frac{1}{4}:((\frac{5}{8}-\frac{4}{5})*(-\frac{2}{3}))-3$

$\frac{4+3}{12}:((\frac{25-32}{40})*(-\frac{2}{3}))-3$

$\frac{7}{12}:((-\frac{7}{10})*(-\frac{2}{3}))-3$

$\frac{7}{12}:\frac{14}{120} -3$

$\frac{840}{168}-3= \frac{840-504}{168}=\frac{336}{168}$

Simplificamos $\frac{336}{168} = \frac{168}{84} = \frac{84}{42} = \frac{42}{21}:3 = \frac{14}{7}:7 = 2$