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= 1/3 x 5 + 1/5x 7 + 1/7 x 9 +...+1/99 x 101
=1/ 2x (1/3 - 1/5 +1/5 - 1/7 +1/7 - 1/9 + 1/99 - 1/101)
=1/2 x (1/3 - 1/99)
=1/2 x (1/3 - 1/101)
=1/2 x (98/303)
=1/15 + 1/35 + 1/63 +1/99+...+1/9999
=49/303
\(=\frac{1}{3.5}+\frac{1}{5.7}+....+\frac{1}{99.101}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{99}-\frac{1}{101}\)
\(=\frac{1}{3}-\frac{1}{101}+0+...+0\)
\(=\frac{98}{303}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(1\cdot\frac{1}{15}\cdot1\frac{1}{16}\cdot1\frac{1}{17}\cdot....\cdot1\frac{1}{2016}\cdot1\frac{1}{2017}\)
\(=\frac{1}{15}\cdot\frac{17}{16}\cdot\frac{18}{17}\cdot....\cdot\frac{2017}{2016}\cdot\frac{2018}{2017}\)
\(=\frac{1}{15}\cdot\frac{1}{16}\cdot2018\)
Dấu "." là dấu nhân nhé bn! phần còn lại bn làm tiếp nha
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\(\frac{3}{7}\cdot\left(\frac{2}{15}+\frac{1}{15}\right)=\frac{2}{15}\cdot\frac{3}{7}+\frac{1}{15}\cdot\frac{8}{7}\)
\(=\frac{3}{7}\cdot\frac{3}{15}\)
\(=\frac{3}{35}\)
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1/4 + 2/5 + 6/8 + 9/15 + 6/7 = ( 1/4 + 6/8 ) + ( 2/5 + 9/15 ) + 6/7
= 1 + 1 + 6/7
= 2 + 6/7
= 20/7
\(\frac{1}{4}+\frac{2}{5}+\frac{6}{8}+\frac{9}{15}+\frac{6}{7}\)
= \(\left(\frac{1}{4}+\frac{6}{8}\right)+\left(\frac{2}{5}+\frac{9}{15}\right)+\frac{6}{7}\)
= \(1+1+\frac{6}{7}\)
= 2 + \(\frac{6}{7}\)
= \(\frac{14}{7}+\frac{6}{7}=\frac{20}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1 :
a ) \(\frac{17}{7}+\frac{6}{5}-\frac{20}{15}\)
= \(\frac{17}{7}+\frac{18}{15}-\frac{20}{15}\)
= \(\frac{17}{7}-\left(\frac{20}{15}-\frac{18}{15}\right)\)
= \(\frac{17}{7}-\frac{2}{15}\)
= \(\frac{241}{105}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
trang 1-9 có 9 chữ số
trang 10-99 có 180 chữ số
trang 100-264 có 495 chữ số
vậy: 9+180+495=684( trang)
15 nha bạn
15 nha bạn