Вычеслите значение суммы 1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10

Question

Вычеслите значение суммы 1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10

Answer 1

1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+1/7*8+1/8*9+1/9*10=2+1,5+4/3+1,25+1,2+7/6+8/7+1,125+10/9=2+1,5+1,25+1,2+1,125+4/3+7/6+8/7+10/9=7,075+599/126=7 75/1000+4 95/126=7 9450/126000+4 95000/126000=11 10445/12600=11 2089/2520