Getallestelsels: RGBB#1

Vind ‘n breuk tussen die volgende pare breuke:

a) $2 over 3 semicolon square semicolon 3 over 4$ b) $negative 2 1 third semicolon square semicolon minus 2 1 half$ c) $2 over 7 semicolon square semicolon 5 over 6$

a)
$2 over 3 semicolon square semicolon 3 over 4 K G V open parentheses 3 semicolon 4 close parentheses equals 12 fraction numerator 2 cross times 4 over denominator 3 cross times 4 end fraction semicolon square semicolon fraction numerator 3 cross times 4 over denominator 4 cross times 4 end fraction 8 over 12 semicolon up diagonal strike square semicolon 9 over 12 fraction numerator 8 cross times 2 over denominator 12 cross times 2 end fraction semicolon square semicolon fraction numerator 9 cross times 2 over denominator 12 cross times 2 end fraction 16 over 24 semicolon box enclose 17 over 24 end enclose semicolon 18 over 24$

b)
$negative 2 1 third semicolon square semicolon minus 2 1 half minus 7 over 3 semicolon square semicolon minus 5 over 2 K G V open parentheses 2 semicolon 3 close parentheses equals 6 minus fraction numerator 7 cross times 2 over denominator 3 cross times 2 end fraction semicolon square semicolon minus fraction numerator 5 cross times 3 over denominator 2 cross times 3 end fraction minus 14 over 6 semicolon up diagonal strike square semicolon minus 15 over 6 minus fraction numerator 14 cross times 2 over denominator 6 cross times 2 end fraction semicolon square semicolon minus fraction numerator 15 cross times 2 over denominator 6 cross times 2 end fraction minus 28 over 12 semicolon box enclose negative 29 over 12 end enclose semicolon minus 30 over 12$

c)
$2 over 7 semicolon square semicolon 5 over 6 K G V open parentheses 6 semicolon 7 close parentheses equals 42 fraction numerator 2 cross times 6 over denominator 7 cross times 6 end fraction semicolon square semicolon fraction numerator 5 cross times 7 over denominator 6 cross times 7 end fraction 12 over 46 semicolon square semicolon 35 over 46 12 over 46 semicolon box enclose....18 over 46.... end enclose semicolon 35 over 46 2 over 7 semicolon box enclose....3 over 7.... end enclose semicolon 5 over 6$