To solve the equation \( x + \frac{3}{6} = 5 \), follow these steps:

1. Simplify \( \frac{3}{6} \) to \( \frac{1}{2} \).
   
   \[
   x + \frac{1}{2} = 5
   \]

2. Subtract \( \frac{1}{2} \) from both sides to isolate \( x \):

   \[
   x = 5 - \frac{1}{2}
   \]

3. Convert 5 to a fraction with the same denominator as \( \frac{1}{2} \):

   \[
   x = \frac{10}{2} - \frac{1}{2}
   \]

4. Subtract the fractions:

   \[
   x = \frac{9}{2}
   \]

5. Therefore, the solution is:

   \[
   x = \frac{9}{2} \quad \text{or} \quad x = 4.5
   \]

Would you like any additional explanation or further details?

Here are five related questions:
1. How would you solve \( x + \frac{4}{8} = 6 \)?
2. What if the equation was \( 2x + \frac{1}{2} = 5 \)?
3. How do you solve for \( x \) in \( x + 3 = 5 \)?
4. What happens if the denominator of the fraction changes to 3, like \( x + \frac{3}{9} = 5 \)?
5. Can you solve \( \frac{x+3}{6} = 5 \) and how is it different?

**Tip:** When working with fractions, simplify them early to make calculations easier!

Learn how to solve the linear equation x + 3/6 = 5 with a step-by-step solution. This problem involves simplifying fractions and basic algebraic operations. Ideal for students in Grades 6-8 looking to improve their skills in solving linear equations.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation