https://file.aiquickdraw.com/mathbot/file/1727615402873oypwyuns.jpg

Let's solve the given equation, which appears as:

\[
\frac{2x - 3}{2} = \frac{1}{6}
\]

### Step 1: Eliminate the denominator by multiplying both sides of the equation by 2.

\[
2x - 3 = \frac{2}{6}
\]

Simplify \(\frac{2}{6}\) to \(\frac{1}{3}\), so the equation becomes:

\[
2x - 3 = \frac{1}{3}
\]

### Step 2: Add 3 to both sides to isolate the term with \(x\).

\[
2x = \frac{1}{3} + 3
\]

Convert 3 into a fraction with a denominator of 3:

\[
2x = \frac{1}{3} + \frac{9}{3} = \frac{10}{3}
\]

### Step 3: Divide both sides by 2 to solve for \(x\).

\[
x = \frac{\frac{10}{3}}{2} = \frac{10}{6} = \frac{5}{3}
\]

Thus, the solution is:

\[
x = \frac{5}{3}
\]

Do you have any questions or would you like more details?

### Related Questions:
1. How do you handle equations with fractions on both sides?
2. What are the steps to eliminate denominators in an equation?
3. Can this equation be solved using cross-multiplication? How?
4. What happens if you make a mistake in simplifying fractions during an equation?
5. How can you verify the solution to an equation?

### Tip: 
When dealing with fractions, multiplying both sides by the least common denominator (LCD) can quickly eliminate all fractions in the equation.

Learn how to solve the algebraic equation (2x - 3)/2 = 1/6 through step-by-step simplification and solving for x. This problem focuses on eliminating denominators and handling fractions, making it suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation