a: \(-0,5=-\dfrac{50}{100}\)
mà -50>-51
nên \(-0,5>-\dfrac{51}{100}\)
b: \(1\dfrac{7}{9}=\dfrac{16}{9}=\dfrac{16\cdot5}{9\cdot5}=\dfrac{80}{45}\)
\(\dfrac{9}{5}=\dfrac{9\cdot9}{5\cdot9}=\dfrac{81}{45}\)
mà 80<81
nên \(1\dfrac{7}{9}< \dfrac{9}{5}\)
c: \(\dfrac{-295}{118}=\dfrac{-295\cdot133}{118\cdot133}=\dfrac{-39235}{15694}\)
\(-\dfrac{280}{133}=\dfrac{-280\cdot118}{118\cdot133}=\dfrac{-33040}{15694}\)
mà -39235<-33040
nên \(-\dfrac{295}{118}< -\dfrac{280}{133}\)
d: \(\dfrac{-15}{37}=\dfrac{-30}{74};\dfrac{10}{-29}=\dfrac{-10}{29}=\dfrac{-30}{87}\)
74<87
=>\(\dfrac{30}{74}>\dfrac{30}{87}\)
=>\(-\dfrac{30}{74}< -\dfrac{30}{87}\)
=>\(-\dfrac{15}{37}< -\dfrac{10}{29}\)