Getallestelsels: RGV#1

Vereenvoudig die volgende breuke.

e) $table attributes columnalign right center left columnspacing 0px end attributes row blank blank 15 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank percent sign end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank v end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank n end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets fraction numerator negative 2 over denominator negative 4 end fraction plus fraction numerator negative 8 over denominator 7 end fraction cross times open parentheses negative 2 close parentheses close square brackets end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank divided by end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses end cell end table$

a)
$open square brackets negative 2 divided by open parentheses negative 4 close parentheses plus open parentheses fraction numerator negative 8 over denominator 7 end fraction close parentheses cross times open parentheses negative 2 close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals open square brackets fraction numerator negative 2 over denominator negative 4 end fraction plus open parentheses fraction numerator negative 8 over denominator 7 end fraction close parentheses cross times open parentheses negative 2 close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals open square brackets 1 half plus open parentheses fraction numerator negative 8 over denominator 7 end fraction close parentheses cross times open parentheses negative 2 close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals open square brackets 1 half plus open parentheses 16 over 7 close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals open square brackets fraction numerator 1 cross times 7 over denominator 2 cross times 7 end fraction plus open parentheses fraction numerator 16 cross times 2 over denominator 7 cross times 2 end fraction close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals open square brackets 7 over 14 plus open parentheses 32 over 14 close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals 39 over 14 divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals 39 over 14 cross times open parentheses fraction numerator negative 7 over denominator 5 end fraction close parentheses equals negative 39 over 10$

b)
$open square brackets negative 2 over 4 plus open parentheses fraction numerator negative 8 over denominator 7 end fraction close parentheses close square brackets cross times fraction numerator negative 2 over denominator 5 end fraction equals open square brackets negative fraction numerator 1 cross times 7 over denominator 2 cross times 7 end fraction plus open parentheses fraction numerator negative 8 cross times 2 over denominator 7 cross times 2 end fraction close parentheses close square brackets cross times fraction numerator negative 2 over denominator 5 end fraction equals open square brackets fraction numerator negative 7 plus open parentheses negative 16 close parentheses over denominator 14 end fraction close square brackets cross times fraction numerator negative 2 over denominator 5 end fraction equals open square brackets fraction numerator negative 7 minus 16 over denominator 14 end fraction close square brackets cross times fraction numerator negative 2 over denominator 5 end fraction equals open square brackets fraction numerator negative 23 over denominator up diagonal strike 14 to the power of 7 end fraction close square brackets cross times fraction numerator negative up diagonal strike 2 to the power of 1 over denominator 5 end fraction equals fraction numerator open parentheses negative 23 close parentheses cross times open parentheses negative 1 close parentheses over denominator 7 cross times 5 end fraction equals fraction numerator plus 23 over denominator 35 end fraction$

c)
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open square brackets open parentheses fraction numerator 8 minus 11 over denominator 5 end fraction close parentheses plus open parentheses fraction numerator negative 5 over denominator 11 end fraction close parentheses close square brackets divided by 5 4 over 5 end cell row blank equals cell open square brackets open parentheses fraction numerator negative 3 cross times 11 over denominator 5 cross times 11 end fraction close parentheses plus open parentheses fraction numerator negative 5 cross times 5 over denominator 11 cross times 5 end fraction close parentheses close square brackets divided by 5 4 over 5 end cell row blank equals cell open square brackets fraction numerator negative 33 plus open parentheses negative 25 close parentheses over denominator 55 end fraction close square brackets divided by 5 4 over 5 end cell row blank equals cell open square brackets fraction numerator negative 33 minus 25 over denominator 55 end fraction close square brackets divided by 5 4 over 5 end cell row blank equals cell negative 58 over 55 divided by 5 4 over 5 end cell row blank equals cell negative 58 over 55 divided by 29 over 5 end cell row blank equals cell negative 58 over 55 cross times 5 over 29 end cell row blank equals cell negative 2 over 11 end cell row blank blank blank row blank blank blank end table$

d)
$open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses plus fraction numerator open square brackets open parentheses begin display style fraction numerator negative 5 over denominator 11 end fraction end style close parentheses cross times open parentheses 2 open parentheses negative 3 plus 15 close parentheses minus 2 close parentheses close square brackets over denominator 5 end fraction equals open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses plus fraction numerator open square brackets open parentheses begin display style fraction numerator negative 5 over denominator 11 end fraction end style close parentheses cross times open parentheses 2 open parentheses 12 close parentheses minus 2 close parentheses close square brackets over denominator 5 end fraction equals open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses plus fraction numerator open square brackets open parentheses begin display style fraction numerator negative 5 over denominator 11 end fraction end style close parentheses cross times open parentheses 24 minus 2 close parentheses close square brackets over denominator 5 end fraction equals open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses plus fraction numerator open square brackets open parentheses begin display style fraction numerator negative 5 over denominator 11 end fraction end style close parentheses cross times 22 close square brackets over denominator 5 end fraction equals open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses plus fraction numerator open square brackets negative 10 close square brackets over denominator 5 end fraction equals open parentheses fraction numerator negative 3 over denominator 5 end fraction close parentheses plus open parentheses fraction numerator negative 2 cross times 5 over denominator 1 cross times 5 end fraction close parentheses equals fraction numerator negative 3 plus open parentheses negative 10 close parentheses over denominator 5 end fraction equals fraction numerator negative 3 minus 10 over denominator 5 end fraction equals fraction numerator negative 13 over denominator 5 end fraction equals negative 2 3 over 5$

e)
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 15 percent sign space v a n space open square brackets fraction numerator negative 2 over denominator negative 4 end fraction plus fraction numerator negative 8 over denominator 7 end fraction cross times open parentheses negative 2 close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses end cell row blank blank cell u i t space a right parenthesis space space space open square brackets fraction numerator negative 2 over denominator negative 4 end fraction plus fraction numerator negative 8 over denominator 7 end fraction cross times open parentheses negative 2 close parentheses close square brackets divided by open parentheses fraction numerator 5 over denominator negative 7 end fraction close parentheses equals negative 39 over 10 end cell row blank blank cell d u s end cell row blank blank cell 15 percent sign space v a n space open parentheses negative 39 over 10 close parentheses end cell row blank equals cell 15 over 100 cross times open parentheses negative 39 over 10 close parentheses end cell row blank equals cell negative 117 over 200 end cell end table$