Let's simplify the expression:

\[
\frac{4}{18} + \frac{2}{8}
\]

### Step 1: Simplify each fraction.
- \(\frac{4}{18}\) simplifies to \(\frac{2}{9}\) because \(4 \div 2 = 2\) and \(18 \div 2 = 9\).
- \(\frac{2}{8}\) simplifies to \(\frac{1}{4}\) because \(2 \div 2 = 1\) and \(8 \div 2 = 4\).

So, the expression becomes:

\[
\frac{2}{9} + \frac{1}{4}
\]

### Step 2: Find a common denominator.
The least common denominator (LCD) of 9 and 4 is 36.

Now, convert each fraction to have a denominator of 36:
- \(\frac{2}{9} = \frac{8}{36}\) (because \(2 \times 4 = 8\) and \(9 \times 4 = 36\))
- \(\frac{1}{4} = \frac{9}{36}\) (because \(1 \times 9 = 9\) and \(4 \times 9 = 36\))

### Step 3: Add the fractions.
\[
\frac{8}{36} + \frac{9}{36} = \frac{8 + 9}{36} = \frac{17}{36}
\]

So, the simplified result is:

\[
\frac{17}{36}
\]

Would you like any more details or have any questions?

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Here are some related questions you might be interested in:
1. How do you determine the least common denominator?
2. What are some tricks for simplifying fractions quickly?
3. How do you subtract fractions with different denominators?
4. How can you convert a fraction into a decimal?
5. What are the steps for multiplying two fractions?
6. How do you divide one fraction by another?
7. What is an equivalent fraction, and how do you find it?
8. How can fractions be compared using cross-multiplication?

**Tip:** When adding fractions, always check if you can simplify them first—it makes the process easier!

Learn how to simplify and add fractions 4/18 and 2/8 step-by-step with detailed explanations. This problem covers key arithmetic operations with fractions and finding the least common denominator. Suitable for students in Grades 6-8.

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