Điền dấu lớn , bé , bằng thích hợp vào chỗ chấm:
a) \(\frac{3}{5}\) < 1 b) \(\frac{7}{6}\,\, > 1\) c) \(\frac{4}{5}\) < 1 d) \(\frac{9}{{14}}\) < 1
e) \(\frac{8}{3}\) > 1 f) \(\frac{{14}}{3}\, > \frac{{10}}{3}\) g) \(\frac{5}{7} > \frac{3}{7}\) h) \(\frac{7}{5} < \frac{9}{5}\)
i) \(\frac{{218}}{{376}} < \frac{{218}}{{367}}\) j) \(\frac{{721}}{{218}} < \frac{{721}}{{215}}\)
k)
Vì: \(\frac{{1999}}{{2003}} < 1 < \frac{9}{8}\) Nên: \[\frac{{1999}}{{2003}} < \frac{9}{8}\]
l)
Vì: \(\frac{{12}}{{31}} < 1 < \frac{{22}}{{21}}\) Nên: \[\frac{{12}}{{31}} < \frac{{22}}{{21}}\]
m)
Vì: \(\frac{{47}}{{52}} > \frac{{47}}{{58}} > \frac{{45}}{{58}}\) Nên: \(\frac{{47}}{{52}} > \frac{{45}}{{58}}\)
n)
\(\frac{{2015}}{{2011}} - 1 = \frac{4}{{2011}}\)
\(\frac{{1996}}{{1992}} - 1 = \frac{4}{{1992}}\)
Vì: \(\frac{4}{{2011}} < \frac{4}{{1992}}\) Nên: \(\frac{{2015}}{{2011}}\,\, < \frac{{1996}}{{1992}}\)
o)
Vì: \(\frac{{1998}}{{1995}} > 1 > \frac{{2015}}{{2016}}\) Nên: \(\frac{{1998}}{{1995}} > \frac{{2015}}{{2016}}\)
p)
Ta có:
\(\frac{{222}}{{333}} = \frac{{222:111}}{{333:111}} = \frac{2}{3} = 1 - \frac{1}{3}\)
\(\frac{{333}}{{444}} = \frac{{333:111}}{{444:111}} = \frac{3}{4} = 1 - \frac{1}{4}\)
Vì \(\frac{1}{3} > \frac{1}{4}\) nên \(\frac{2}{3} < \frac{3}{4}\) hay \(\frac{{222}}{{333}} < \frac{{333}}{{444}}\)
q)
Vì: \(\frac{{1313}}{{1515}} < \frac{{1326}}{{1515}} < \frac{{1326}}{{1428}}\) nên \(\frac{{1313}}{{1515}} < \frac{{1326}}{{1428}}\)
r)
\(\frac{{119}}{{120}} = 1 - \frac{1}{{120}}\)
\(\frac{{118}}{{119}} = 1 - \frac{1}{{119}}\)
Vì: \(\frac{1}{{120}} < \frac{1}{{119}}\) Nên: \(\frac{{119}}{{120}} > \frac{{118}}{{119}}\)
s)
\(\frac{{222}}{{555}} = \frac{{222:111}}{{555:111}} = \frac{2}{5}\)
\(\frac{{333}}{{444}} = \frac{{333:111}}{{444:111}} = \frac{3}{4}\)
Vì \(\frac{2}{5} < \frac{3}{5} < \frac{3}{4}\) nên \(\frac{2}{5} < \frac{3}{4}\) hay \(\frac{{222}}{{555}} < \frac{{333}}{{444}}\)