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