Question

solve for u.
\\(\frac{6}{5}u = 30\\)
simplify your answer as much as possible.
u = \square

Explanation:

Step1: Multiply both sides by 5

To eliminate the denominator, multiply both sides of the equation \(\frac{6}{5}u = 30\) by 5. This gives \(6u = 30\times5\).

Step2: Calculate the right side

Calculate \(30\times5 = 150\), so the equation becomes \(6u = 150\).

Step3: Divide both sides by 6

Divide both sides of \(6u = 150\) by 6 to solve for \(u\). So \(u=\frac{150}{6}\).

Step4: Simplify the fraction

Simplify \(\frac{150}{6}\) by dividing numerator and denominator by their greatest common divisor, which is 6. \(\frac{150\div6}{6\div6}=\frac{25}{1} = 25\).

Answer:

\(u = 25\)