To solve the expression \(-\frac{7}{15} + -\frac{2}{3}\), we first need to find a common denominator.

1. The denominators are 15 and 3. The least common denominator (LCD) between them is 15.
  
2. Convert \(-\frac{2}{3}\) to have a denominator of 15:
   \[
   -\frac{2}{3} = -\frac{2 \times 5}{3 \times 5} = -\frac{10}{15}
   \]

3. Now, add the fractions:
   \[
   -\frac{7}{15} + -\frac{10}{15} = \frac{-7 - 10}{15} = -\frac{17}{15}
   \]

So, the result is \(-\frac{17}{15}\), which is an improper fraction. It can also be written as a mixed number:
\[
-\frac{17}{15} = -1 \frac{2}{15}
\]

Would you like more details or have any questions?

Here are five related questions you might find interesting:

1. How do you add fractions with different denominators?
2. What is the process of converting an improper fraction to a mixed number?
3. How do you find the least common denominator (LCD) of two fractions?
4. What are the rules for adding and subtracting negative fractions?
5. How can you simplify fractions before adding them?

**Tip:** Always check if you can simplify fractions before performing operations. It can make the calculations easier!

This article provides a step-by-step solution for adding fractions with different denominators, using the example -7/15 + -2/3. Learn how to find the least common denominator (LCD), convert fractions, and handle negative numbers. Ideal for students in Grades 5-7.

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