Answer:
[tex]\large\boxed{w=-\dfrac{37}{24}=-1\dfrac{13}{24}}[/tex]
Step-by-step explanation:
[tex]w+3\dfrac{3}{8}=1\dfrac{5}{6}\qquad\text{convert mixed numbers to improper fractions}\\\\w+\dfrac{3\cdot8+3}{8}=\dfrac{1\cdot6+5}{6}\\\\w+\dfrac{27}{8}=\dfrac{11}{6}\qquad\text{multiply both sides by 24}\\\\24w+24\!\!\!\!\!\diagup^3\cdot\dfrac{27}{8\!\!\!\!\diagup_1}=24\!\!\!\!\!\diagup^4\cdot\dfrac{11}{6\!\!\!\!\diagup_1}\\\\24w+81=44\qquad\text{subtract 81 from both sides}\\\\24w=-37\qquad\text{divide both sides by 24}\\\\w=-\dfrac{37}{24}[/tex]
