https://r2.erweima.ai/mathbot/image/1725568462068obwbn7te.jpg

The problem shown in the image is:

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

To solve this, we first need to find a common denominator between the two fractions. The denominators are 5 and 9, and their least common denominator (LCD) is 45.

Now, rewrite both fractions with 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, add the two fractions:

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

So the result is:

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

This is an improper fraction. It can also be expressed as a mixed number:

\[
53 \div 45 = 1 \text{ remainder } 8
\]
\[
\frac{53}{45} = 1 \frac{8}{45}
\]

Thus, the final answer is either:

\[
\frac{53}{45} \quad \text{or} \quad 1 \frac{8}{45}
\]

Would you like any further clarification on this?

Here are 5 related questions for practice:
1. What is \(\frac{3}{4} + \frac{5}{6}\)?
2. How do you subtract \(\frac{7}{10} - \frac{3}{5}\)?
3. What is the least common denominator of 7 and 8?
4. How do you multiply fractions, such as \(\frac{2}{3} \times \frac{4}{5}\)?
5. How would you divide \(\frac{9}{4} \div \frac{2}{3}\)?

**Tip**: Always simplify fractions at the end of your calculations for a clearer final answer.

Learn how to add fractions with different denominators using the example 2/5 + 7/9. This detailed solution explains finding the least common denominator (LCD) and converting the result into an improper fraction or mixed number. Suitable for students in Grades 5-7.

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