Getallestelsels: RGPM#1

Vereenvoudig die volgende breuke.

a) $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 over 4 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 2 over 3 end cell end table$

b) $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 5 over denominator 24 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 third end cell end table$

c) $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 6 over 4 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses negative 2 over 3 close parentheses end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses negative 1 fifth close parentheses end cell end table$

d) $3 1 over 8 minus 2 1 half minus open parentheses negative 1 1 third close parentheses$

a)
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 over 4 plus 2 over 3 end cell row blank blank cell K G V open parentheses 3 semicolon 4 close parentheses equals 12 end cell row blank equals cell fraction numerator 3 cross times 3 over denominator 4 cross times 3 end fraction plus fraction numerator 2 cross times 4 over denominator 3 cross times 4 end fraction end cell row blank equals cell 9 over 12 plus 8 over 12 end cell row blank equals cell 17 over 12 end cell row blank equals cell 1 5 over 12 end cell end table$

b)
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 5 over denominator 24 end fraction minus 1 third end cell row blank blank cell space K G V open parentheses 3 semicolon 24 close parentheses equals 24 space end cell row blank equals cell fraction numerator negative 5 over denominator 24 end fraction minus fraction numerator 1 cross times 8 over denominator 3 cross times 8 end fraction space end cell row blank equals cell fraction numerator negative 5 over denominator 24 end fraction minus 8 over 24 space end cell row blank equals cell fraction numerator negative 13 over denominator 24 end fraction end cell end table$

c)
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 6 over 4 minus open parentheses negative 2 over 3 close parentheses plus open parentheses negative 1 fifth close parentheses end cell row blank equals cell 6 over 4 plus 2 over 3 minus 1 fifth end cell row blank blank cell space K G V open parentheses 3 semicolon 4 semicolon 5 close parentheses equals 60 end cell row blank equals cell fraction numerator 6 cross times 15 over denominator 4 cross times 15 end fraction plus fraction numerator 2 cross times 20 over denominator 3 cross times 20 end fraction minus fraction numerator 1 cross times 12 over denominator 5 cross times 12 end fraction end cell row blank equals cell 90 over 60 plus 40 over 60 minus 12 over 60 end cell row blank equals cell fraction numerator 90 plus 40 minus 12 over denominator 60 end fraction end cell row blank equals cell 118 over 60 end cell row blank equals cell 59 over 30 end cell row blank equals cell 1 29 over 30 end cell end table$

d)
$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 1 over 8 minus 2 1 half minus open parentheses negative 1 1 third close parentheses equals negative 25 over 8 minus 5 over 2 plus 4 over 3 K G V open parentheses 2 semicolon 3 semicolon 8 close parentheses equals 24 equals negative fraction numerator 25 cross times 3 over denominator 8 cross times 3 end fraction minus fraction numerator 5 cross times 12 over denominator 2 cross times 12 end fraction plus fraction numerator 4 cross times 8 over denominator 3 cross times 8 end fraction equals negative 75 over 24 minus 60 over 24 plus 32 over 24 equals fraction numerator negative 75 minus 60 plus 32 over denominator 24 end fraction equals fraction numerator negative 103 over denominator 24 end fraction equals negative 4 7 over 24 end cell end table$