$\frac{1}{6}$ + $\frac{1}{3}$ + $\frac{1}{8}$ = $\frac{4}{24}$ + $\frac{8}{24}$ + $\frac{3}{24}$ = $\frac{15}{24}$

$\frac{15}{24}$ -( $\frac{1}{3}$ + $\frac{1}{4}$ )= $\frac{15}{24}$ -( $\frac{8}{24}$ + $\frac{6}{24}$ )= $\frac{15}{24}$ - $\frac{14}{24}$ = $\frac{1}{24}$

$\frac{15}{24}$ -( $\frac{1}{6}$ + $\frac{1}{4}$ )= $\frac{15}{24}$ -( $\frac{4}{24}$ + $\frac{6}{24}$ )= $\frac{15}{24}$ - $\frac{10}{24}$ = $\frac{5}{24}$

$\frac{15}{24}$ -( $\frac{1}{3}$ + $\frac{5}{24}$ )= $\frac{15}{24}$ -( $\frac{8}{24}$ + $\frac{5}{24}$ )= $\frac{15}{24}$ - $\frac{13}{24}$ = $\frac{2}{24}$ = $\frac{1}{12}$  

$\frac{15}{24}$ -( $\frac{1}{6}$ - $\frac{1}{12}$ )= $\frac{15}{24}$ -( $\frac{4}{24}$ + $\frac{2}{24}$ )= $\frac{15}{24}$ - $\frac{6}{24}$ = $\frac{9}{24}$ = $\frac{3}{8}$

$\frac{15}{24}$ -( $\frac{1}{4}$ + $\frac{1}{12}$ )= $\frac{15}{24}$ -( $\frac{6}{24}$ + $\frac{2}{24}$ )= $\frac{15}{24}$ - $\frac{8}{24}$ = $\frac{7}{24}$