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\(\frac{222222}{323232}=\frac{222222:20202}{323232:20202}=\frac{11}{16}\)
\(\frac{121212}{484848}=\frac{121212:121212}{484848:121212}=\frac{1}{4}\)
\(\frac{5555}{7575}=\frac{5555:505}{7575:505}=\frac{11}{15}\)
\(\frac{1111}{5656}=\frac{1111:101}{5656:101}=\frac{11}{56}\)
\(\frac{1919}{4141}=\frac{1919:101}{4141:101}=\frac{19}{41}\)
\(\frac{1515}{4545}=\frac{1515:1515}{4545:1515}=\frac{1}{3}\)
\(\frac{1515}{3636}=\frac{1515:303}{3636:303}=\frac{5}{12}\)
\(\frac{1515}{1515}=1\)
\(\frac{2000}{1999}>1\)
\(\Rightarrow\frac{1515}{1515}< \frac{2000}{1999}\)
a)\(\frac{1313}{1515}=\frac{13\times101}{15\times101}=\frac{13}{15}\)
\(\frac{1326}{1428}=\frac{1326:102}{1428:102}=\frac{13}{14}\)
DO \(\frac{13}{14}>\frac{13.}{15}\) nên \(\frac{1326}{1428}>\frac{1313}{1515}\)
\(b\))\(\frac{222}{555}\) và \(\frac{333}{444}\)
\(\frac{222}{555}=\frac{2\times111}{5\times111}=\frac{2}{5}\)
\(\frac{333}{444}=\frac{3\times111}{4\times111}=\frac{3}{4}\)
DO \(\frac{2}{5}< \frac{3}{4}\) nên \(\frac{222}{555}< \frac{333}{444}\)
a. Ta có : \(\frac{1313}{1515}=\frac{13.101}{15.101}=\frac{13}{15}\)
\(\frac{1326}{1428}=\frac{13.102}{14.102}=\frac{13}{14}\)
Vì \(\frac{13}{15}< \frac{13}{14}\)(do 15> 14)
=>\(\frac{1313}{1515}< \frac{1326}{1428}\)
b.Ta có : \(1-\frac{119}{120}=\frac{1}{120}\)
\(1-\frac{118}{119}=\frac{1}{119}\)
Vì \(\frac{1}{120}< \frac{1}{119}\)(do 120>119)
=> \(1-\frac{1}{120}>1-\frac{1}{119}\)
=>\(\frac{119}{120}>\frac{118}{119}\)
Ta có: \(\frac{1212}{1515}=\frac{12}{15}\)
=>\(\frac{12}{15}=\frac{1212}{1515}\)
\(\frac{1717}{3232}=\frac{17}{32};\frac{1515}{1616}=\frac{15}{16}\)
Ta có: \(\dfrac{1515}{4545}=\dfrac{1515:1515}{4545:1515}=\dfrac{1}{3}\)
\(\dfrac{343434}{515151}=\dfrac{343434:10101}{515151:10101}=\dfrac{34}{51}=\dfrac{34:17}{51:17}=\dfrac{2}{3}\)
Vì \(1< 2\) nên \(\dfrac{1}{3}< \dfrac{2}{3}\)
hay \(\dfrac{1515}{4545}< \dfrac{343434}{515151}\)
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