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

We are given the equation:

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

### Step 1: Eliminate the fractions by finding a common denominator
The denominators in the equation are 4, 6, and 12. The least common denominator (LCD) of 4, 6, and 12 is 12. We'll multiply both sides of the equation by 12 to eliminate the fractions.

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

This gives us:

\[
3n - 10 = 5
\]

### Step 2: Solve for \(n\)
Now, add 10 to both sides:

\[
3n = 5 + 10
\]

\[
3n = 15
\]

### Step 3: Divide by 3 to isolate \(n\)

\[
n = \frac{15}{3}
\]

\[
n = 5
\]

### Final Answer:
\[
n = 5
\]

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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 using algebraic techniques. This solution involves finding the least common denominator to eliminate fractions, followed by solving for the variable n. Suitable for students in Grades 6-8.

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