Question

\(\frac{-1941}{1931}\)và\(\frac{-2011}{2001}\)                                                     \(\frac{37}{59}\)và\(\frac{47}{69}\)

\(\frac{-97}{201}\)và\(\frac{-194}{399}\)                                                               \(\frac{-189}{398}\)và\(\frac{-187}{394}\)

so sánh các cặp phân số trên

Answer 1

\(\frac{-1941}{1931}\)và\(\frac{-2011}{2001}\)

Ta có: \(\frac{-1941}{1931}\)>\(\frac{-1941}{2001}\) (1) ;    \(\frac{-1941}{2001}\)>\(\frac{-2011}{2001}\)(2)

Từ (1) và (2) \(\Rightarrow\)\(\frac{-1941}{1931}\)>\(\frac{-2011}{2001}\)

\(\frac{37}{59}\)và \(\frac{47}{69}\)

Từ 37 < 47\(\Rightarrow\)\(\frac{37}{59}\) <      \(\frac{37+10}{59+10}\)\(\Rightarrow\)\(\frac{37}{59}\)<\(\frac{47}{69}\)

\(\frac{-97}{201}\)và\(\frac{-194}{399}\)

Ta có:\(\frac{-97}{201}\)>\(\frac{-97}{399}\)(1); \(\frac{-97}{399}\)>\(\frac{-194}{399}\)(2)

Từ (1); (2)\(\Rightarrow\)\(\frac{-97}{201}\)>\(\frac{-194}{399}\)

\(\frac{-189}{398}\)và\(\frac{-187}{394}\)

Ta có: \(\frac{-189}{398}\)<\(\frac{-189}{394}\)(1); \(\frac{-189}{394}\)<\(\frac{-187}{394}\)(2)

Từ (1); (2)\(\Rightarrow\)\(\frac{-189}{398}\)<\(\frac{-187}{394}\)