To solve the equation \( \frac{4}{12} = \frac{x}{18} \), follow these steps:

1. **Simplify the fraction on the left-hand side:**

   \[
   \frac{4}{12} = \frac{1}{3}
   \]

2. The equation now becomes:

   \[
   \frac{1}{3} = \frac{x}{18}
   \]

3. **Cross-multiply** to solve for \(x\):

   \[
   1 \times 18 = 3 \times x
   \]

   \[
   18 = 3x
   \]

4. **Solve for \(x\):**

   \[
   x = \frac{18}{3} = 6
   \]

So, \( x = 6 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you simplify fractions like \( \frac{4}{12} \)?
2. What is cross-multiplication, and when do you use it?
3. How do you solve equations with variables on both sides?
4. Can you solve \( \frac{5}{10} = \frac{x}{20} \) using the same method?
5. What happens if you don't simplify the fraction before solving?

**Tip:** Always simplify fractions when possible to make calculations easier!

Learn how to solve the proportion 4/12 = x/18 using cross-multiplication. This detailed step-by-step solution simplifies the fraction and walks you through solving for the variable x. Perfect for students in Grades 6-8 learning about proportions and fractions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation