To solve the equation \( A + B = \frac{1}{18} + \frac{1}{15} \), we need to find the sum of the fractions on the right-hand side.

### Step 1: Find a Common Denominator

The denominators are 18 and 15. The least common multiple (LCM) of 18 and 15 is 90. So, we will convert both fractions to have a common denominator of 90.

\[
\frac{1}{18} = \frac{1 \times 5}{18 \times 5} = \frac{5}{90}
\]

\[
\frac{1}{15} = \frac{1 \times 6}{15 \times 6} = \frac{6}{90}
\]

### Step 2: Add the Fractions

Now that both fractions have a common denominator, we can add them:

\[
\frac{5}{90} + \frac{6}{90} = \frac{5 + 6}{90} = \frac{11}{90}
\]

### Conclusion

So, \( A + B = \frac{11}{90} \).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you find the least common multiple (LCM) of two numbers?
2. What is the difference between finding the LCM and the greatest common divisor (GCD)?
3. How can you simplify a fraction to its lowest terms?
4. How do you subtract fractions with different denominators?
5. How can you solve equations involving fractions?

**Tip:** Always find a common denominator when adding or subtracting fractions to simplify the process.

Learn how to solve the fraction addition problem A + B = 1/18 + 1/15 using the least common multiple (LCM) method. This problem involves key concepts such as finding a common denominator and adding fractions, suitable for students in Grades 6-8.

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