We need to solve the equation:

\[
\frac{5}{6} + X = 1 \frac{1}{3}
\]

### Step 1: Convert the mixed number to an improper fraction.
First, let's convert \( 1 \frac{1}{3} \) into an improper fraction:

\[
1 \frac{1}{3} = \frac{4}{3}
\]

### Step 2: Rewrite the equation.
Now the equation becomes:

\[
\frac{5}{6} + X = \frac{4}{3}
\]

### Step 3: Subtract \(\frac{5}{6}\) from both sides.
To isolate \(X\), subtract \(\frac{5}{6}\) from both sides:

\[
X = \frac{4}{3} - \frac{5}{6}
\]

### Step 4: Find a common denominator.
The common denominator between \(3\) and \(6\) is \(6\). Rewrite the fractions with this common denominator:

\[
\frac{4}{3} = \frac{8}{6}
\]

Now, subtract the fractions:

\[
X = \frac{8}{6} - \frac{5}{6} = \frac{3}{6} = \frac{1}{2}
\]

### Final Answer:
\[
X = \frac{1}{2}
\]

Would you like more details or further explanation?

Here are 5 related questions for you:
1. How do you add fractions with different denominators?
2. How do you convert mixed numbers to improper fractions?
3. Can you solve for \(X\) in the equation \(X - \frac{3}{4} = \frac{7}{8}\)?
4. What is the least common denominator (LCD) of \(\frac{5}{6}\) and \(\frac{4}{3}\)?
5. How do you multiply fractions, and when is it necessary?

**Tip:** When subtracting fractions, always make sure to find the least common denominator (LCD) to simplify the process.

Learn how to solve the equation 5/6 + X = 1 1/3 with a detailed step-by-step explanation. This solution includes converting mixed numbers to improper fractions, finding a common denominator, and solving for X. Suitable for students in Grades 6-8.

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