Given:
[tex]\frac{5}{6}-\frac{3}{8}[/tex]We need to simplify this expression.
The least common multiple of 6 and 8 is 24.
Make the denominator of the fraction as 24.
[tex]\frac{5}{6}-\frac{3}{8}=\frac{5\times4}{6\times4}-\frac{3\times3}{8\times3}[/tex][tex]\frac{5}{6}-\frac{3}{8}=\frac{20}{24}-\frac{9}{24}[/tex][tex]\frac{5}{6}-\frac{3}{8}=\frac{20-9}{24}[/tex][tex]\frac{5}{6}-\frac{3}{8}=\frac{11}{24}[/tex]Final answer:
[tex]\frac{5}{6}-\frac{3}{8}=\frac{11}{24}[/tex]