https://r2.erweima.ai/mathbot/image/1725564039025zd2915ug.jpg

The expression in the image is:

\[
\frac{2}{5} + \frac{7}{9}
\]

To add these two fractions, we need to find a common denominator. The least common denominator (LCD) between 5 and 9 is 45.

Now, convert both fractions to have 45 as the denominator:

\[
\frac{2}{5} = \frac{2 \times 9}{5 \times 9} = \frac{18}{45}
\]

\[
\frac{7}{9} = \frac{7 \times 5}{9 \times 5} = \frac{35}{45}
\]

Now that they have the same denominator, add the numerators:

\[
\frac{18}{45} + \frac{35}{45} = \frac{18 + 35}{45} = \frac{53}{45}
\]

Thus, the sum is:

\[
\frac{53}{45}
\]

This is an improper fraction, and you can also express it as:

\[
1 \frac{8}{45}
\]

Would you like more details on any steps?

Here are 5 questions to extend this topic:
1. How can you simplify fractions before adding or subtracting them?
2. What is the process of converting improper fractions to mixed numbers?
3. Why do we need a common denominator when adding fractions?
4. Can this fraction be simplified further?
5. How would you subtract \(\frac{2}{5}\) from \(\frac{7}{9}\)?

**Tip**: When adding fractions, always check if you can simplify the fraction after performing the operation!

Learn how to solve the fraction addition problem 2/5 + 7/9 with a detailed step-by-step solution. This includes finding the least common denominator (LCD) and converting improper fractions. Suitable for students in Grades 5-7.

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