Question
\begin{tabular}{l} Solve for \( v \). \( \frac{v}{8}=\frac{3}{12} \) \\ Simplify your answer as much as possible. \\ \hline\( v=\square \)\end{tabular}
Ask by Rojas Ayala. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( v = 2 \)
Solution
To solve for \( v \) in the equation:
\[
\frac{v}{8} = \frac{3}{12}
\]
**Step 1:** Simplify the right side of the equation.
\[
\frac{3}{12} = \frac{1}{4}
\]
**Step 2:** Substitute the simplified fraction back into the equation.
\[
\frac{v}{8} = \frac{1}{4}
\]
**Step 3:** Solve for \( v \) by multiplying both sides by 8.
\[
v = 8 \times \frac{1}{4} = 2
\]
\[
v = 2
\]
---
\[
v = \boxed{2}
\]
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Mind Expander
To solve for \( v \) in the equation \( \frac{v}{8}=\frac{3}{12} \), first simplify the fraction on the right side. Since \( \frac{3}{12} = \frac{1}{4} \), we can rewrite the equation as \( \frac{v}{8} = \frac{1}{4} \). Next, we can cross-multiply to eliminate the fractions. This gives us \( v \cdot 4 = 1 \cdot 8 \), which simplifies to \( 4v = 8 \). Now, divide both sides by 4 to isolate \( v \): \[ v = \frac{8}{4} = 2 \] Hence, the simplified solution for \( v \) is \( v = 2 \).