Solve for \( u \). \[ \frac{5}{4}=\frac{u+2}{6} \] Simplify your answer as much as possible.

To solve for \( u \) in the equation \[ \frac{5}{4}=\frac{u+2}{6}, \] we can start by cross-multiplying to eliminate the fractions. This gives us: \[ 5 \cdot 6 = 4 \cdot (u + 2). \] Calculating the left side: \[ 30 = 4(u + 2). \] Next, distribute the \( 4 \) on the right side: \[ 30 = 4u + 8. \] Now, to isolate \( 4u \), subtract \( 8 \) from both sides: \[ 30 - 8 = 4u. \] This simplifies to: \[ 22 = 4u. \] Finally, divide both sides by \( 4 \) to solve for \( u \): \[ u = \frac{22}{4} = \frac{11}{2}. \] Thus, the solution is \[ u = \frac{11}{2}. \]