To solve the equation:

\[
\frac{1}{8}x = \frac{2}{9}
\]

We can follow these steps:

### Step 1: Isolate \( x \)
To solve for \( x \), multiply both sides of the equation by 8 to eliminate the fraction on the left side:

\[
x = 8 \times \frac{2}{9}
\]

### Step 2: Multiply the fractions
Now, multiply \( 8 \) by \( \frac{2}{9} \):

\[
x = \frac{8 \times 2}{9} = \frac{16}{9}
\]

Thus, the solution is:

\[
x = \frac{16}{9}
\]

Would you like more details on these steps, or do you have any questions?

### 5 Related Questions:
1. How do you solve equations with multiple fractions?
2. Can you solve the equation \( \frac{3}{7}x = \frac{5}{6} \)?
3. How do you simplify fractions like \( \frac{16}{9} \)?
4. What happens if both sides of the equation have the variable in a fraction?
5. How would you solve \( \frac{1}{x} = \frac{2}{9} \)?

### Tip:
Always check your solution by substituting it back into the original equation to ensure it satisfies both sides.

Learn how to solve the equation 1/8x = 2/9 with a detailed step-by-step guide. This algebraic problem focuses on solving linear equations involving fractions, making it ideal for students in Grades 6-8.

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