Question

SO SÁNH

\(\frac{8}{7}va\frac{2018}{2019}\)                                          \(\frac{45}{95}va\frac{45555}{95555}\)                                               \(\frac{12}{25}va\frac{25}{49}\)

Answer 1

cứu cần gấp

Answer 2

Ta có: \(\hept{\begin{cases}\frac{8}{7}>1\\\frac{2018}{2019}< 1\end{cases}}\Rightarrow\frac{2018}{2019}< 1< \frac{8}{7}\)

hay \(\frac{2018}{2019}< 1< \frac{8}{7}\)

Ta có: \(\frac{45}{95}=\frac{45000}{95000}=1-\frac{50000}{95000}\)

\(\frac{45555}{95555}=1-\frac{50000}{95555}\)

Vì \(\frac{50000}{95000}< \frac{50000}{95555}\) nên \(1-\frac{50000}{95000}>1-\frac{50000}{95555}\)

\(\Rightarrow\frac{45}{95}>\frac{45555}{95555}\)

Ta có: \(\hept{\begin{cases}\frac{12}{25}>\frac{1}{2}\\\frac{25}{49}< \frac{1}{2}\end{cases}}\Rightarrow\frac{25}{49}< \frac{1}{2}< \frac{12}{25}\)

hay \(\frac{25}{49}< \frac{12}{25}\)