Question

[Nguyễn Ngọc Thủy]

So sánh  \(A=\frac{2014}{2015}+\frac{2015}{2016}\)với \(y=\frac{\frac{2014}{2015}}{\frac{2015}{2016}}\)

Answer 1

[Nghị Hoàng]

\(y=\frac{2014}{\frac{2015}{\frac{2015}{2016}}}=\frac{2014}{2015}.\frac{2015}{2016}=\frac{1007}{1008}=1-\frac{1}{2008}\)

\(\frac{2014}{2015}=1-\frac{1}{2015}\)

Vì \(\frac{1}{2008}>\frac{1}{2015}\)nên \(\frac{1007}{1008}< \frac{2014}{2015}\)

Vậy A>y

Answer 2

[Đinh Thùy Linh]

y < 1 < A. 

Bạn chứng minh điều đó nhé!