To solve the equation \( \frac{1}{3} + \frac{1}{3}v = \frac{5}{6} \), follow these steps:

### Step 1: Eliminate the fractions by finding a common denominator.
The denominators are 3 and 6, and the least common multiple is 6. Multiply every term by 6:

\[
6 \times \left(\frac{1}{3}\right) + 6 \times \left(\frac{1}{3}v\right) = 6 \times \left(\frac{5}{6}\right)
\]

This simplifies to:

\[
2 + 2v = 5
\]

### Step 2: Solve for \( v \).
Subtract 2 from both sides:

\[
2v = 3
\]

Divide both sides by 2:

\[
v = \frac{3}{2} \quad \text{or} \quad v = 1.5
\]

### Final Answer:
The solution to the equation is \( v = \frac{3}{2} \) or \( v = 1.5 \).

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you solve equations with fractions?
2. What is the process of clearing fractions in an equation?
3. Can you explain how to find the least common multiple?
4. How can you check if the solution to an equation is correct?
5. What are the steps to solve linear equations in one variable?

**Tip:** Always verify your solution by substituting it back into the original equation to ensure accuracy.

Learn how to solve the equation 1/3 + 1/3v = 5/6 step-by-step. This problem involves basic algebra and fractions. Suitable for students in Grades 6-8.

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