Question

Сравните пожалуйста:
6/7 & 5/6; 9/10 & 10/11; 20/21 & 21/22

Answer 1

$frac{6}{7}= frac{6*6}{7*6} = frac{36}{42}$
$frac{5}{6}= frac{5*7}{6*6} = frac{35}{42}$
$frac{36}{42} textgreater frac{35}{42} , = textgreater frac{6}{7} textgreater frac{5}{6}$

$frac{9}{10}= frac{9*11}{10*11} = frac{99}{110}$
$frac{10}{11} = frac{10*10}{11*10} = frac{100}{110}$
$frac{99}{110} textless frac{100}{110}, = textgreater frac{9}{10} textless frac{10}{11}$

$frac{20}{21} = frac{20*22}{21*22} = frac{440}{462}$
$frac{21}{22} = frac{21*21}{22*21} = frac{441}{462}$
$frac{440}{462} textless frac{441}{462}, = textgreater frac{20}{21} textless frac{21}{22}$