Question

tính \(\frac{\frac{2013}{2}+\frac{2013}{3}+\frac{2013}{4}+\frac{2013}{2014}}{\frac{2013}{1}+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}}\)

 

Answer 1

A=\(\frac{2013}{2014}\) nha

Answer 2

Mình nghĩ kết quả là: 2013/2014

tk mình nhé

Chúc bạn học tốt

Mình đang cần

^.^

Answer 3

2013/2014.

Answer 4

2013/2014

Answer 5

2013/2014 nha bn

Answer 6

Đặt \(B=\frac{2013}{1}+\frac{2012}{2}+\frac{2011}{3}+....+\frac{1}{2013}\)

\(=\left(\frac{2012}{2}+1\right)+\left(\frac{2011}{3}+1\right)+\left(\frac{2010}{4}+1\right)+.....+\left(\frac{1}{2013}+1\right)+1\)

\(=\frac{2014}{2}+\frac{2014}{3}+\frac{2014}{4}+\frac{2014}{5}+...+\frac{2014}{2013}+\frac{2014}{2014}\)

\(=2014\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2014}\right)\)

Đặt \(B=\frac{2013}{2}+\frac{2013}{3}+\frac{2013}{4}+....+\frac{2013}{2014}\)

\(=2013\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2014}\right)\)

\(\Rightarrow\) Biểu thức tương đương với:

\(\frac{2013\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.....+\frac{1}{2014}\right)}{2014\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2014}\right)}=\frac{2013}{2014}\)

Answer 7

A = 2013/2014 nha bạn

Answer 8

\(\frac{\frac{2013}{2}+\frac{2013}{3}+...+\frac{2013}{2014}}{2013+\frac{2012}{2}+\frac{2011}{3}+...+\frac{1}{2013}}=\frac{2013\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right)}{1+\frac{2012}{2}+1+\frac{2011}{3}+...+1+\frac{1}{2013}+1}\)

\(=\frac{2013\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right)}{\frac{2014}{2}+\frac{2014}{3}+...+\frac{2014}{2013}+\frac{2014}{2014}}\)

\(=\frac{2013\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right)}{2014\left(\frac{1}{2}+\frac{1}{3}+...+\frac{1}{2014}\right)}\)

\(=\frac{2013}{2014}\)