[tex]\dfrac{3}{8} \cdot 16 = \dfrac{3}{8} \cdot \dfrac{16}{1} =3\cdot 2 =6\\\\\\\dfrac{3}{8} \cdot \dfrac{24}{7} =\dfrac{3\cdot 3}{7} =\dfrac{9}{7} =1\dfrac{2}{7}\\\\\\ \dfrac{3}{8} \cdot \dfrac{14}{15} =\dfrac{1\cdot 7}{4\cdot 5}=\dfrac{7}{20}\\\\\\\dfrac{3}{8} \cdot 1\dfrac{1}{6}=\dfrac{3}{8} \cdot \dfrac{7}{6}=\dfrac{1\cdot 7}{8\cdot 2} =\dfrac{7}{16} \\\\\\dfrac{3}{8} \cdot 2\dfrac{2}{7}=\dfrac{3}{8} \cdot \dfrac{16}{7}=\dfrac{3\cdot 2}{1\cdot 7} =\dfrac{6}{7}[/tex]
[tex]\dfrac{3}{8} =\dfrac{3}{8} \cdot a = \dfrac{3}{8}\cdot 1 ~~\Rightarrow ~~a=1\\\\\\\dfrac{3}{32} =\dfrac{3\cdor 1 }{8\cdot 4}=\dfrac{3}{8}\cdot \dfrac{1}{4}=\dfrac{3}{8}\cdot a ~~\Rightarrow ~~a=\dfrac{1}{4} \\\\\\1=\dfrac{3}{8}\cdot \dfrac{8}{3}=\dfrac{3}{8}\cdot a ~~\Rightarrow ~~a=\dfrac{8}{3}[/tex]
