https://file.aiquickdraw.com/mathbot/file/1725932436663taz6yflr.jpg

The image shows a mathematical expression that needs to be evaluated. The expression is:

\[
\frac{2}{9} \times \frac{9}{10} + \frac{2}{3}
\]

Let's solve this step by step:

1. **Multiply the fractions**: 
   \[
   \frac{2}{9} \times \frac{9}{10} = \frac{2 \times 9}{9 \times 10} = \frac{18}{90} = \frac{1}{5}
   \]

2. **Add the result to the next fraction**: 
   \[
   \frac{1}{5} + \frac{2}{3}
   \]

   To add these fractions, we need a common denominator. The least common denominator (LCD) of 5 and 3 is 15.

   - Convert \(\frac{1}{5}\) to \(\frac{3}{15}\).
   - Convert \(\frac{2}{3}\) to \(\frac{10}{15}\).

3. **Add the fractions**:
   \[
   \frac{3}{15} + \frac{10}{15} = \frac{13}{15}
   \]

Thus, the final result is:

\[
\frac{13}{15}
\]

If you need more details or have any further questions, feel free to ask!

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Here are 5 related questions you might find interesting:

1. How do you convert a mixed fraction to an improper fraction?
2. What is the process for dividing two fractions?
3. How do you find the least common denominator for adding fractions with different denominators?
4. How can you simplify a complex fraction?
5. What is the difference between a proper fraction and an improper fraction?

**Tip**: Always simplify fractions when possible to make calculations easier and results clearer.

Learn how to solve the expression 2/9 × 9/10 + 2/3 step-by-step. This problem focuses on multiplying and adding fractions with different denominators, and understanding how to simplify results. Suitable for Grades 5-7.

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