Question

Me ayudan con este ejercicio porfavor?
$3-(\frac{5}{2})^{-1} . \frac{5}{4}-\left[\begin{array}{ccc}\frac{7}{3}-(\frac{1}{2} )^{3} \end{array}\right] +(-1)$

Answer 1

Respuesta:

-17/24

Explicación paso a paso:

Resolución:

$\bold{3-(\frac{5}{2})^{-1} . \frac{5}{4}-\left[\begin{array}{ccc}\frac{7}{3}-(\frac{1}{2} )^{3} \end{array}\right] +(-1)}$

$\bold{3-(\frac{2}{5}). \frac{5}{4}-\left[\begin{array}{ccc}\frac{7}{3}-(\frac{ {1}^{3} }{ {2}^{3} } )\end{array}\right] +(-1)}$

$\bold{3-(\frac{2.5}{5.4})-\left[\begin{array}{ccc}\frac{7}{3}-(\frac{1 }{8} )\end{array}\right] - 1}$

$\bold{3-(\frac{10}{20})-\left[\begin{array}{ccc}\frac{7}{3}-\frac{1 }{8}\end{array}\right] - 1}$

$\bold{3-(\frac{1}{2})-\left[\begin{array}{ccc}\frac{7(8)}{3(8)}-\frac{1(3) }{8(3)}\end{array}\right] - 1}$

$\bold{3-\frac{1}{2}-\left[\begin{array}{ccc}\frac{56}{24}-\frac{3}{24}\end{array}\right] - 1}$

$\bold{ 3 -\frac{1}{2}-\left[\begin{array}{ccc}\frac{56 - 3}{24}\end{array}\right] - 1}$

$\bold{3-\frac{1}{2}-\left[\begin{array}{ccc}\frac{53}{24}\end{array}\right] - 1}$

$\bold{3-\frac{1}{2}-\frac{53}{24} - 1}$

$\bold{ \frac{3(24)}{1(24)} -\frac{1(12)}{2(12)}-\frac{53}{24} - \frac{1(24)}{1(24)} }$

$\bold{ \frac{72}{24} -\frac{12}{24}-\frac{53}{24} - \frac{24}{24}}$

$\bold{ \frac{72 - 12 - 53 - 24}{24}}$

$\bold{ \frac{60 - 53 - 24}{24}}$

$\bold{ \frac{ 7- 24}{24}}$

$\bold{ \frac{ - 17}{24}}$