30 : 6 = 5 - доп.множ. к 5/6
5/6 = (5·5)/(6·5) = 25/30.
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2/3; 3/5; 7/12; 4/15; 17/20. Общий знаменатель 60.
60 : 3 = 20 - доп.множ. к 2/3 = (2·20)/(3·20) = 40/60
60 : 5 = 12 - доп.множ. к 3/5 = (3·12)/(5·12) = 36/60
60 : 12 = 5 - доп.множ. к 7/12 = (7·5)/(12·5) = 35/60
60 : 15 = 4 - доп.множ. к 4/15 = (4·4)/(15·4) = 16/60
60 : 20 = 3 - доп.множ. к 17/20 = (17·3)/(20·3) = 51/60
В порядке возрастания: 4/15 < 7/12 < 3/5 < 2/3 < 17/20, так как 16/60 < 35/60 < 36/60 < 40/60 < 51/60.
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30 : 6 = 5 - доп.множ. к 5/6
5/6 = (5·5)/(6·5) = 25/30.
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2/3; 3/5; 7/12; 4/15; 17/20. Общий знаменатель 60.
60 : 3 = 20 - доп.множ. к 2/3 = (2·20)/(3·20) = 40/60
60 : 5 = 12 - доп.множ. к 3/5 = (3·12)/(5·12) = 36/60
60 : 12 = 5 - доп.множ. к 7/12 = (7·5)/(12·5) = 35/60
60 : 15 = 4 - доп.множ. к 4/15 = (4·4)/(15·4) = 16/60
60 : 20 = 3 - доп.множ. к 17/20 = (17·3)/(20·3) = 51/60
В порядке возрастания: 4/15 < 7/12 < 3/5 < 2/3 < 17/20, так как 16/60 < 35/60 < 36/60 < 40/60 < 51/60.