\(\dfrac{1111}{1212}\) và \(\dfrac{1515}{1616}\)
\(\dfrac{1111}{1212}=\dfrac{1111\times1616}{1212\times1616}=\dfrac{1795376}{1958592}\)
\(\dfrac{1515}{1616}=\dfrac{1515\times1212}{1616\times1212}=\dfrac{1836180}{1958592}\)
Vì: 1836180 > 1795376
=> \(\dfrac{1111}{1212}< \dfrac{1515}{1616}\)
\(\dfrac{1111}{1212}\) = \(\dfrac{1111:101}{1212:101}\) = \(\dfrac{11}{12}\)= 1 - \(\dfrac{1}{12}\) ; \(\dfrac{1515}{1616}\) =\(\dfrac{1515:101}{1616:101}\) = \(\dfrac{15}{16}\) = 1 -\(\dfrac{1}{16}\)
Vì \(\dfrac{1}{12}\) > \(\dfrac{1}{16}\) nên \(\dfrac{1111}{1212}\) < \(\dfrac{1515}{1616}\)
\(\dfrac{1111}{1212}=\dfrac{11}{12}=1-\dfrac{1}{12}\)
\(\dfrac{1516}{1516}=\dfrac{15}{16}=1-\dfrac{1}{16}\)
Vì: \(\dfrac{1}{12}>\dfrac{1}{16}\) nên \(1-\dfrac{1}{12}< 1-\dfrac{1}{16}\)
Vậy\(\dfrac{1111}{1212}< \dfrac{1515}{1616}\)
