Let's solve the expression step by step:

\[
\frac{2}{9} + \left(-\frac{3}{10}\right) + \left(-\frac{7}{10}\right)
\]

### Step 1: Combine the negative fractions
\[
-\frac{3}{10} + -\frac{7}{10} = -\frac{10}{10} = -1
\]

### Step 2: Add to \( \frac{2}{9} \)
\[
\frac{2}{9} + (-1) = \frac{2}{9} - 1
\]

Convert 1 to a fraction with denominator 9:

\[
1 = \frac{9}{9}
\]

\[
\frac{2}{9} - \frac{9}{9} = \frac{2 - 9}{9} = \frac{-7}{9}
\]

### Final Answer:
\[
\frac{-7}{9} \text{ or } -\frac{7}{9}
\]

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### Related Questions:
1. How do you find the least common denominator for different fractions?
2. What are some techniques to simplify fraction addition and subtraction?
3. How do you convert improper fractions into mixed numbers?
4. How do you handle negative fractions in arithmetic operations?
5. How can fractions be converted into decimals?

**Tip:** Always simplify fractions when possible to make calculations easier!

Learn how to solve the fraction expression 2/9 + (-3/10) + (-7/10) step by step. This problem involves fraction addition, negative numbers, and common denominators. Suitable for students in Grades 5-7.

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