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

1. **Isolate \( v \)**: Add \(\frac{1}{3}\) to both sides of the equation to get \( v \) by itself on the left side:
   \[
   v = -\frac{3}{5} + \frac{1}{3}
   \]

2. **Find a common denominator** for the fractions:
   - The denominators are 5 and 3. The least common denominator (LCD) is 15.

3. **Rewrite the fractions with the common denominator**:
   \[
   v = -\frac{3 \times 3}{5 \times 3} + \frac{1 \times 5}{3 \times 5} = -\frac{9}{15} + \frac{5}{15}
   \]

4. **Combine the fractions**:
   \[
   v = \frac{-9 + 5}{15} = \frac{-4}{15}
   \]

So, the solution is:
\[
v = -\frac{4}{15}
\]

Would you like any further details on this?

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Here are 5 related questions:

1. How do you add and subtract fractions with different denominators?
2. What is the process of finding a common denominator?
3. How can you check if the solution \( v = -\frac{4}{15} \) is correct?
4. How would you solve \( v \) if the equation involved multiplication or division?
5. What if the fractions were improper or mixed numbers?

**Tip:** When solving equations involving fractions, always simplify the fractions where possible to make the calculations easier.

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

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