38. Division by 1/3 is the same as multiplication by 3.
[tex] \frac{5}{6} \times 3 = 5 \times \frac{3}{6} = 5 \times \frac{1}{2} = \frac{5}{2}[/tex]
[tex] \frac{1}{2} \times 3 = \frac{3}{2}[/tex]
[tex] \frac{1}{9} \times 3 = \frac{3}{9} = \frac{1}{3}[/tex]
40. Division by 1/2 is the same as multiplication by 2.
[tex]x \times 2 = \frac{6}{8}[/tex]
[tex]x = \frac{6}{8} \times \frac{1}{2} = \frac{3}{8}[/tex]
[tex]3 \times 2 = 6[/tex]
[tex]x \times 2 = 5[/tex]
[tex]x = \frac{5}{2}[/tex]