\(a,\dfrac{12}{17}và\dfrac{7}{15}\)
\(\dfrac{12}{17}=\dfrac{12x15}{17x15}=\dfrac{180}{255}\)
\(\dfrac{7}{15}=\dfrac{7x17}{15x17}=\dfrac{119}{255}\)
vì \(\dfrac{180}{255}>\dfrac{119}{255}\)nên \(\dfrac{12}{17}>\dfrac{7}{15}\)
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\(b,\dfrac{1999}{2001}và\dfrac{12}{11}\)
\(\dfrac{1999}{2001}=\dfrac{1999x11}{2001x11}=\dfrac{21989}{22011}\)
\(\dfrac{12}{11}=\dfrac{12x2001}{11x2001}=\dfrac{24012}{22011}\)
vì \(\dfrac{21989}{22011}< \dfrac{24012}{22011}\)nên \(\dfrac{1999}{2001}< \dfrac{12}{11}\)
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\(c,\dfrac{13}{27}và\dfrac{27}{41}\)
\(\dfrac{13}{27}=\dfrac{13x41}{27x41}=\dfrac{533}{1107}\)
\(\dfrac{27}{41}=\dfrac{27x27}{41x27}=\dfrac{729}{1107}\)
vì \(\dfrac{533}{1107}< \dfrac{729}{1107}\)nên \(\dfrac{13}{27}< \dfrac{27}{41}\)
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\(d,\dfrac{1998}{1999}và\dfrac{1999}{2000}\)
\(\dfrac{1998}{1999}=\dfrac{1998x2000}{1999x2000}=\dfrac{3996000}{3888000}\)
\(\dfrac{1999}{2000}=\dfrac{1999x1999}{2000x1999}=\dfrac{3996001}{3888000}\)
vì\(\dfrac{3996000}{3888000}< \dfrac{3996001}{3888000}\)nên\(\dfrac{1998}{1999}< \dfrac{1999}{2000}\)