Solve the equation.
[tex]\begin{gathered} \frac{5}{9}d=\frac{9}{10} \\ d=\frac{9\cdot9}{5\cdot10} \\ =\frac{81}{50} \\ =1\frac{31}{50} \end{gathered}[/tex]
To check substitute the 81/50 for d in the equation.
[tex]\begin{gathered} \frac{5}{9}\cdot\frac{81}{50}=\frac{5}{9}\cdot\frac{9\cdot9}{5\cdot10} \\ =\frac{9}{10} \end{gathered}[/tex]
The result is 9/10. So it is verify that 81/50 is the value of d.
Answer: 1 31/50
Correct Option: B
