Question

solve for v.
\\(\frac{8}{5}v = 40\\)
simplify your answer as much as possible.
\\(v = \boxed{}\\)

Explanation:

Step1: Multiply both sides by 5/8

To isolate \( v \), we multiply both sides of the equation \(\frac{8}{5}v = 40\) by the reciprocal of \(\frac{8}{5}\), which is \(\frac{5}{8}\). So we have \( v = 40\times\frac{5}{8} \).

Step2: Simplify the right side

Calculate \( 40\times\frac{5}{8} \). We can simplify 40 and 8 first: \( 40\div8 = 5 \), then \( 5\times5 = 25 \). So \( v = 25 \).

Answer:

\( v = 25 \)