Question

Determinar el valor (1/2) (1/4)-(1/2)-1+(1/125)-3-1+(1/81 )-16 (1/2 ) 1/2

Answer 1

Solución;

$\frac{757727}{81000}$

Procedimiento;

$(\frac{1}{2} )(\frac{1}{4} )-\frac{1}{2} -1+\frac{1}{125} -3-1+\frac{1}{81} -(16)(\frac{1}{2} )(\frac{1}{2} )$

= $\frac{1}{8} -\frac{1}{2} -1+\frac{1}{125} -3-1+\frac{1}{81} -4$

= $\frac{1}{8} -\frac{1}{2} +\frac{1}{125} +\frac{1}{81} -5-4$

= $\frac{1}{8} -\frac{1}{2} +\frac{1}{125} +\frac{1}{81} -9$

= $(\frac{1}{8} -\frac{1}{2}) +\frac{1}{125} +(\frac{1}{81} -9)$

= $(\frac{1}{8} -\frac{4}{8}) +\frac{1}{125} +(\frac{1}{81} -\frac{729}{81} )$

= $(\frac{1-4}{8}) +\frac{1}{125} +(\frac{1-729}{81})$

= $-\frac{3}{8} +\frac{1}{125} -\frac{728}{81}$

= $(-\frac{3}{8} -\frac{728}{81})+\frac{1}{125}$

= $(\frac{-3*81-728*8}{648}) +\frac{1}{125}$

=  $\frac{-243-5824}{648} +\frac{1}{125}$

= $\frac{-6067}{648} +\frac{1}{125}$

= $\frac{-6067*125+1*648}{81000}$

= $\frac{-758375+648}{81000}$

= $\frac{757727}{81000}$