So sánh
\(A=\frac{2017^{2016}-2020}{2017^{2016}-6056}\)
\(B=\frac{2017^{2016}+2018}{2017^{2016}-2018}\)
Những câu hỏi liên quan
So sánh hai phân số : A=\(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\)và B=\(\frac{2015+2016+2017}{2016+2017+2018}\)
\(A=\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\)
\(B=\frac{2015+2016+2017}{2016+2017+2018}\)
\(B=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Ta có:
\(\frac{2015}{2016}>\frac{2015}{2016+2017+2018}\)
\(\frac{2016}{2017}>\frac{2016}{2016+2017+2018}\)
\(\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\)
Cộng vế theo vế, ta có:
\(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
\(hay\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015+2016+2017}{2016+2017+2018}\)
\(\Rightarrow A>B\)
Vậy A > B
Đúng 0
Bình luận (0)
Bạn có nhầm không, tớ thấy cả hai đều giống nhau mà,
Hai cái bằng nhau
So sánh 2 phân số
A=\(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\)
B=\(\frac{2015+2016+2017}{2016+2017+2018}\)
Ta có : \(B=\frac{2015+2016+2017}{2016+2017+2018}\) \(=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Mà \(\frac{2015}{2016}>\frac{2015}{2016+2017+2018}\)
\(\frac{2016}{2017}>\frac{2016}{2016+2017+2018}\)
\(\frac{2017}{2018}>\frac{2017}{2016+2017+2016}\)
Cộng vế theo vế, ta có :
\(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015+2016+2017}{2016+2017+2018}\)
\(\Rightarrow A>B\)
Đúng 0
Bình luận (0)
So sánh hai phân số A=\(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\)và B=\(\frac{2015+2016+2017}{2016+2017+2018}\)
Các bn giải giúp mk nha ! Mk cần gấp ! Thanks nhiều. ^-^
B = \(\frac{2015+2016+2017}{2016+2017+2018}=\frac{2016.3}{2017.3}=\frac{2016}{2017}\left(1\right)\)
Mà A = \(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}.\left(2\right)\)
Từ \(\left(1\right)\)và \(\left(2\right)\)=> A > B.
Vậy A > B .
Đúng 0
Bình luận (0)
Bạn Dont look at me
Bạn nên làm theo bạn ấy
Bạn k đúng cho bạn ấy. Bởi vì bạn ấy làm đúng
Theo mk là vậy
Đúng 0
Bình luận (0)
\(A=\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\)\(B=\frac{2015+2016+2017}{6051}\)
\(A=\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\)\(B=\frac{2015}{6051}+\frac{2016}{6051}+\frac{2017}{6051}\)
=> A > B
Đúng 0
Bình luận (0)
So sánh
M = \(\frac{2016}{2017}+\frac{2017}{2018}\&N\frac{2016+2017}{2017+2018}?\)
N = \(\frac{2016+2017}{2017+2018}=\frac{2016}{2017+2018}+\frac{2017}{2017+2018}\)
Ta có: \(\frac{2016}{2017}>\frac{2016}{2017+2018}\)
\(\frac{2017}{2016}>\frac{2017}{2017+2018}\)
Nên M > N
Đúng 0
Bình luận (0)
Ta thấy : \(\frac{2016+2017}{2017+2018}\)=\(\frac{2016}{2017+2018}\)+\(\frac{2017}{2017+2018}\)
Vì : \(\frac{2016}{2017}\)>\(\frac{2016}{2017+2018}\)
\(\frac{2017}{2018}\)>\(\frac{2017}{2017+2018}\)
Cộng vế với vế ta được : \(\frac{2016}{2017}\)+\(\frac{2017}{2018}\)> \(\frac{2016}{2017+2018}\)+\(\frac{2017}{2017+2018}\)
Hay M > N
Vậy M > N
Chúc bạn hok tốt !!
Đúng 0
Bình luận (0)
so sánh P và Q, biết \(P=\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}\) va \(Q=\frac{2015+2016+2017}{2016+2017+2018}\)
\(Q=\frac{2015+2016+2017}{2016+2017+2018}=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\)\(\frac{2017}{2016+2017+2018}\)
ta có :
\(\frac{2015}{2016}>\frac{2015}{2016+2017+2018}\)
\(\frac{2016}{2017}>\frac{2016}{2016+2017+2018}\)
\(\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\)
nên \(P>Q\)
Đúng 0
Bình luận (0)
Q=2015+2016+2017/2016+2017+2018=+2018+2016/2016+2017+2018+2017/2016+2017+2018
vì 2015/2016>2015/2016+2017+2018[1]
2016/2017>2016+2017+2018[2]
2017/2018>2016+2017+2018[3]
từ [1] [2] [3] suy ra P>Q
Đúng 0
Bình luận (0)
P=2015/2016 + 2016/2017+ 2017/2018 =>P>Q.
=>P>2015/2018 + 2016/2018 + 2017/2018 Thông cảm về cái phân số nhé
=>P>2015+2016+2017/2018
Vì 2015+2016+2017/2018 > 2015+2016+2017/2016+2017+2018=Q
Mà P>2015+2016+2017/2018
Đúng 0
Bình luận (0)
Xem thêm câu trả lời
a)
Ta có: 2015/2016=1-1/2016
2016/2017=1--1/2020.So sánh 1/2016 và 1/2017 được 1/2016>1/2017
Suy ra 2015/2016<2016/2017
b) 2018/2018=1
2019/2018>1
Vậy 2018/2018 <2019/2018
CHÚC BẠN HỌC TỐT NHÉ!!!
so sánh 2 p/s A=2015/2016+2016/2017+2017/2018 va B=2015+2016+2017/2016+2017+2018
Ta có \(B=\frac{2015+2016+2017}{2016+2017+2018}\)
\(\Leftrightarrow B=\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Vì
\(\frac{2015}{2016}>\frac{2015}{2016+2017+2018};\frac{2016}{2017}>\frac{2016}{2016+2017+2018};\frac{2017}{2018}>\frac{2017}{2016+2017+2018}\) nên \(\frac{2015}{2016}+\frac{2016}{2017}+\frac{2017}{2018}>\frac{2015}{2016+2017+2018}+\frac{2016}{2016+2017+2018}+\frac{2017}{2016+2017+2018}\)
Hay \(A>B\)
SO SÁNH\(\frac{2016}{2017}\)+\(\frac{2017}{2018}\)VÀ \(\frac{2016+2017}{2017+2018}\)
Do : \(\frac{2016}{2017}>\frac{2016}{2017+2018}\)
\(\frac{2017}{2018}>\frac{2017}{2017+2018}\)
\(\Rightarrow\frac{2016}{2017}+\frac{2017}{2018}>\frac{2016}{2017+2018}+\frac{2017}{2017+2018}=\frac{2016+2017}{2017+2018}\)
Vậy : \(\frac{2016}{2017}+\frac{2017}{2018}>\frac{2016+2017}{2017+2018}\)
Đúng 0
Bình luận (0)
Ta có:
\(\frac{2016}{2017}>\frac{2017}{2018}\Rightarrow A>\frac{2016}{2018}+\frac{2017}{2018}\Rightarrow A>\frac{2016+2017}{2018}\)
\(\frac{2016+2017}{2017+2018}=\frac{2016+2017}{4035}\)
Vì:\(\frac{2016+2017}{2018}>\frac{2016+2017}{4015}\)
Nên:\(\frac{2016}{2017}+\frac{2017}{2018}>\frac{2016+2017}{2017+2018}\)
Đúng 0
Bình luận (0)
Xem thêm câu trả lời
So sánh \(\frac{2017}{2018}+\frac{2018}{2019}và\frac{2015}{2016}+\frac{2016}{2017}\)