Запишите дроби1/3;1/5;1/7;1/9;1/11 в виде суммы аликвотных дробей с различными...

Question

Запишите дроби1/3;1/5;1/7;1/9;1/11 в виде суммы аликвотных дробей с различными знаменателями

Answer 1

413/495 уверен на75 %

Comments

ой не то

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1/3 = (1*4) / (3*4) = 4/12 = 3/12 + 1/12 = 1/4 + 1/12

1/5 = (1*6) / (5*6) = 6/30 = 5/30 + 1/30 = 1/6 + 1/30

1/7 = (1*10) / (7*10) = 10/70 = 7/70 + 2/70 + 1/70 = 1/10 + 1/35 + 1/70

1/9 = (1*4) / (9*4) = 4/36 = 3/36 + 1/36 = 1/12 + 1/36

1/11 = (1*6) / (11*6) = 6/66 = 3/66 + 2/66 + 1/66 = 1/22 + 1/33 + 1/66

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1/3 = (1*4) / (3*4) = 4/12 = 3/12 + 1/12 = 1/4 + 1/12

1/5 = (1*6) / (5*6) = 6/30 = 5/30 + 1/30 = 1/6 + 1/30

1/7 = (1*10) / (7*10) = 10/70 = 7/70 + 2/70 + 1/70 = 1/10 + 1/35 + 1/70

1/9 = (1*4) / (9*4) = 4/36 = 3/36 + 1/36 = 1/12 + 1/36

1/11 = (1*6) / (11*6) =6/66= 3/66 + 2/66 + 1/66 = 1/22 + 1/33 + 1/66