We are given the equation:

\[
\frac{X}{9} - \frac{2}{5} = \frac{1}{3}
\]

Let's solve for \(X\):

### Step 1: Add \(\frac{2}{5}\) to both sides of the equation to isolate \(\frac{X}{9}\):
\[
\frac{X}{9} = \frac{1}{3} + \frac{2}{5}
\]

### Step 2: Find the common denominator of \(\frac{1}{3}\) and \(\frac{2}{5}\):
The least common denominator (LCD) of 3 and 5 is 15. Let's express both fractions with the denominator of 15:
\[
\frac{1}{3} = \frac{5}{15}, \quad \frac{2}{5} = \frac{6}{15}
\]

### Step 3: Add the two fractions:
\[
\frac{X}{9} = \frac{5}{15} + \frac{6}{15} = \frac{11}{15}
\]

### Step 4: Multiply both sides by 9 to solve for \(X\):
\[
X = 9 \times \frac{11}{15}
\]

Simplifying:
\[
X = \frac{99}{15} = \frac{33}{5}
\]

### Final Answer:
The value of \(X\) is \( \frac{33}{5} \).

Would you like any further details or explanations on this?

Here are five related questions you might consider:
1. How do you find the least common denominator of two fractions?
2. What is the general method to solve linear equations with fractions?
3. How can you simplify a fraction like \(\frac{99}{15}\)?
4. What is a rational function, and how does it relate to this problem?
5. How can you check if your solution to a rational equation is correct?

**Tip:** Always simplify fractions in your final answer to ensure clarity and correctness.

X/9 - 2/5 = 1/3 find the rational function

Discover how to solve the rational equation X/9 - 2/5 = 1/3 step-by-step. This guide covers essential algebraic techniques, such as adding fractions with different denominators and solving for a variable. Ideal for students in Grades 6-8.

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