Questions: Solve for (v). [ frac6v=9 ] Simplify your answer as much as possible. [ v= ]

$Solve for (v). [ frac6v=9 ] Simplify your answer as much as possible. [ v= ]$

Transcript text: Solve for $v$. \[ \frac{6}{v}=9 \] Simplify your answer as much as possible. \[ v= \]

Solution

Solution Steps

To solve for $ v $ in the equation $\frac{6}{v} = 9$, we need to isolate $ v $. We can do this by multiplying both sides of the equation by $ v $ to eliminate the fraction, and then dividing both sides by 9 to solve for $ v $.

Step 1: Isolate $ v $

Starting with the equation \[ \frac{6}{v} = 9, \] we multiply both sides by $ v $ to eliminate the fraction: \[ 6 = 9v. \]

Step 2: Solve for $ v $

Next, we divide both sides by 9 to isolate $ v $: \[ v = \frac{6}{9}. \] This simplifies to \[ v = \frac{2}{3}. \]

Final Answer

The solution for $ v $ is \[ \boxed{v = \frac{2}{3}}. \]

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