a: \(\dfrac{29}{16}=\dfrac{29\cdot3}{16\cdot3}=\dfrac{87}{48};\dfrac{37}{24}=\dfrac{37\cdot2}{24\cdot2}=\dfrac{74}{48}\)
mà 87>74
nên \(\dfrac{29}{16}>\dfrac{37}{24}\)
b: \(\dfrac{-13}{24}=\dfrac{-13\cdot3}{24\cdot3}=\dfrac{-39}{72};\dfrac{-19}{36}=\dfrac{-19\cdot2}{36\cdot2}=\dfrac{-38}{72}\)
mà -39<-38
nên \(-\dfrac{13}{24}< -\dfrac{19}{36}\)
c: \(-\dfrac{43}{12}=\dfrac{-43\cdot4}{12\cdot4}=\dfrac{-172}{48};\dfrac{-63}{16}=\dfrac{-63\cdot3}{16\cdot3}=\dfrac{-189}{48}\)
mà -172>-189
nên \(-\dfrac{43}{12}>-\dfrac{63}{16}\)
d: \(\dfrac{63}{80}=\dfrac{63\cdot3}{80\cdot3}=\dfrac{189}{240};\dfrac{101}{120}=\dfrac{101\cdot2}{120\cdot2}=\dfrac{202}{240}\)
mà 189<202
nên \(\dfrac{63}{80}< \dfrac{101}{120}\)
e: \(\dfrac{-43}{64}=\dfrac{-43\cdot3}{64\cdot3}=\dfrac{-129}{192};\dfrac{-59}{96}=\dfrac{-59\cdot2}{96\cdot2}=\dfrac{-118}{192}\)
mà -129<-118
nên \(-\dfrac{43}{64}< -\dfrac{59}{96}\)
f: \(\dfrac{13}{-32}=\dfrac{-13}{32}=\dfrac{-13\cdot3}{32\cdot3}=\dfrac{-39}{96}\)
\(\dfrac{-23}{48}=\dfrac{-23\cdot2}{48\cdot2}=\dfrac{-46}{96}\)
mà -39>-46
nên \(\dfrac{13}{-32}>-\dfrac{23}{48}\)
\(a,\dfrac{29}{16}\) và \(\dfrac{37}{24}\)
\(\dfrac{29}{16}=\dfrac{29.3}{16.3}=\dfrac{87}{48};\dfrac{37}{24}=\dfrac{37.2}{24.2}=\dfrac{74}{48}\)
Vì \(87>74\) nên \(\dfrac{87}{48}>\dfrac{74}{48}\)
hay \(\dfrac{29}{16}>\dfrac{37}{24}\)
\(b,\dfrac{-13}{24}\) và \(\dfrac{-19}{36}\)
\(\dfrac{-13}{24}=\dfrac{\left(-13\right).3}{24.3}=\dfrac{-39}{72};\dfrac{-19}{36}=\dfrac{\left(-19\right).2}{36.2}=\dfrac{-38}{72}\)
Vì \(-39< -38\) nên \(\dfrac{-39}{72}< \dfrac{-38}{72}\)
hay \(\dfrac{-13}{24}< \dfrac{-19}{36}\)
\(c,\dfrac{43}{-12}\) và \(\dfrac{-63}{16}\)
Đổi :\(\dfrac{43}{-12}=\dfrac{-43}{12}\)
\(\dfrac{-43}{12}=\dfrac{\left(-43\right).4}{12.4}=\dfrac{-172}{48};\dfrac{-63}{16}=\dfrac{\left(-63\right).3}{16.3}=\dfrac{-189}{48}\)
Vì \(-172>-189\) nên \(\dfrac{-172}{48}>\dfrac{-189}{48}\)
hay \(\dfrac{43}{-12}>\dfrac{-63}{16}\)
\(d,\dfrac{63}{80}\) và \(\dfrac{101}{120}\)
\(\dfrac{63}{80}=\dfrac{63.3}{80.3}=\dfrac{189}{240};\dfrac{101}{120}=\dfrac{101.2}{120.2}=\dfrac{202}{240}\)
Vì \(189< 202\) nên \(\dfrac{189}{240}< \dfrac{202}{240}\)
hay \(\dfrac{63}{80}< \dfrac{101}{120}\)
\(e,\dfrac{-43}{64}\) và \(\dfrac{-59}{96}\)
\(\dfrac{-43}{64}=\dfrac{\left(-43\right).3}{64.3}=\dfrac{-129}{192};\dfrac{-59}{96}=\dfrac{\left(-59\right).2}{96.2}=\dfrac{-118}{192}\)
Vì \(-129< -118\) nên \(\dfrac{-129}{192}< \dfrac{-118}{192}\)
hay \(\dfrac{-43}{64}< \dfrac{-59}{96}\)
\(f,\dfrac{13}{-32}\) và \(\dfrac{-23}{48}\)
Đổi \(\dfrac{13}{-32}=\dfrac{-13}{32}\)
\(\dfrac{-13}{32}=\dfrac{\left(-13\right).3}{32.3}=\dfrac{-39}{96};\dfrac{-23}{48}=\dfrac{\left(-23\right).2}{48.2}=\dfrac{-46}{96}\)
Vì \(-39>-46\) nên \(\dfrac{-39}{96}>\dfrac{-46}{96}\)
hay \(\dfrac{13}{-32}>\dfrac{-23}{48}\)
