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a fost răspuns

3/4< 1/3+1/4+1/5+1/6+1/7+1/8<2
va rooogggg


Răspuns :

0,75 < 0,(3)+0,25+0,2+0,(6)+0,142857+0,125 < 2

0,75 < 1,2178571429 < 2

3/4< 1/3+1/4+1/5+1/6+1/7+1/8<2

²⁸⁰1/3+²¹⁰1/4+¹⁶⁸1/5+¹⁴⁰1/6+¹²⁰1/7+¹⁵1/8=

(280+210+168+120+15)/840=

793/840=0,94

3/4=0,75

0,75<0,94<2

=>3/4< 1/3+1/4+1/5+1/6+1/7+1/8<2

numitorii:3,4,5,6,7,8

3,2²,5,2×3,7,2³

cmmmc=2³×3×5×7=840