**Solve the following equation for n:**
**n/4 - 5/6 = 5/12**

We need to solve the equation:

\[
\frac{n}{4} - \frac{5}{6} = \frac{5}{12}
\]

### Step 1: Eliminate the fractions

First, find the least common denominator (LCD) for the fractions. The denominators are 4, 6, and 12. The LCD of 4, 6, and 12 is 12. 

Now multiply the entire equation by 12 to eliminate the denominators:

\[
12 \times \left( \frac{n}{4} \right) - 12 \times \left( \frac{5}{6} \right) = 12 \times \left( \frac{5}{12} \right)
\]

### Step 2: Simplify each term

\[
12 \times \left( \frac{n}{4} \right) = 3n, \quad 12 \times \left( \frac{5}{6} \right) = 10, \quad 12 \times \left( \frac{5}{12} \right) = 5
\]

So the equation becomes:

\[
3n - 10 = 5
\]

### Step 3: Solve for \( n \)

Add 10 to both sides:

\[
3n = 15
\]

Now, divide both sides by 3:

\[
n = 5
\]

Thus, the solution is:

\[
n = 5
\]

---

Do you want any further details or have questions?

### Related Questions:
1. How do you find the least common denominator (LCD)?
2. How do you check if a solution is correct after solving an equation?
3. What is the process of solving equations involving multiple fractions?
4. How can you simplify expressions involving fractions?
5. How do you solve linear equations with variables on both sides?

**Tip:** When dealing with equations that include fractions, eliminating the fractions early by multiplying by the LCD can make solving much easier.

Solve the following equation for n: n/4 - 5/6 = 5/12

Learn how to solve the linear equation n/4 - 5/6 = 5/12 step by step. This solution explains how to eliminate fractions by finding the least common denominator (LCD) and solving for the variable n. Suitable for students in Grades 6-8.

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