Când două fracții au același numitor, mai mare este fracția care are numărătorul mai mare:
[tex]2 < 4 \implies \boldsymbol{ \dfrac{2}{5} < \dfrac{4}{5} } \\[/tex]
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[tex]6 > 3 \implies \boldsymbol{ \dfrac{6}{8} > \dfrac{3}{8} } \\[/tex]
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[tex]1221 > 1212 \implies \boldsymbol{ \dfrac{1221}{3113} > \dfrac{1212}{3113} } \\[/tex]
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[tex]4^{5} = (2^{2})^{5} = 2^{2 \times 5} = 2^{10}\\[/tex]
[tex]8^{3} = (2^{3})^{3} = 2^{3 \times 3} = 2^{9}\\[/tex]
[tex]2^{10} > 2^{9} \iff 4^{5} > 8^{3} \implies \boldsymbol{ \dfrac{4^{5}}{3^{8}} > \dfrac{8^{3}}{3^{8}} } \\[/tex]
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[tex]x + 3 = \underbrace{x + 2} + 1 > x + 2 \implies \boldsymbol{ \dfrac{x + 3}{2 \times x + 1} > \dfrac{x + 2}{2 \times x + 1} } \\[/tex]
