[tex]\dfrac{2}{3}=\dfrac{2\cdot2}{3\cdot2}=\dfrac{4}{6}\\\\\dfrac{2}{3}=\dfrac{2\cdot3}{3\cdot3}=\dfrac{6}{9}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot5}{3\cdot5}=\dfrac{10}{15}\\\vdots\\\\\dfrac{2}{3}=\dfrac{2\cdot10}{3\cdot10}=\dfrac{20}{30}\\\vdots\\\\\dfrac{2}{3}=\dfrac{2\cdot100}{3\cdot100}=\dfrac{200}{300}\\\vdots[/tex]