Answer: The solution is [tex]x=1\dfrac{7}{8}.[/tex]
Step-by-step explanation: The given equation to solve is given by
[tex]\dfrac{x}{3}=\dfrac{5}{8}.[/tex]
We will be using the following rule of cross- multiplication in the solution.
[tex]\textup{If }\dfrac{a}{b}=\dfrac{c}{d},~\textup{then }a\times d=b\times c.[/tex]
The solution is as follows:
[tex]\dfrac{x}{3}=\dfrac{5}{8}\\\\\\\Rightarrow x\times 8=5\times 3\\\\\Rightarrow 8x=15\\\\\Rightarrow x=\dfrac{15}{8}\\\\\Rightarrow x=1\dfrac{7}{15}.[/tex]
Thus, the solution is [tex]x=1\dfrac{7}{8}.[/tex]
