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To subtract the two fractions \(-\frac{2}{15}\) and \(-\frac{7}{12}\), follow these steps:

### Step 1: Find a common denominator.
The denominators are 15 and 12. The least common denominator (LCD) can be found by determining the least common multiple (LCM) of these two numbers.

- The prime factorization of 15 is \(3 \times 5\).
- The prime factorization of 12 is \(2^2 \times 3\).

The LCM will be \(2^2 \times 3 \times 5 = 60\).

So, the common denominator is 60.

### Step 2: Convert each fraction to the common denominator.
- For \(-\frac{2}{15}\):
  \[
  -\frac{2}{15} = -\frac{2 \times 4}{15 \times 4} = -\frac{8}{60}
  \]

- For \(-\frac{7}{12}\):
  \[
  -\frac{7}{12} = -\frac{7 \times 5}{12 \times 5} = -\frac{35}{60}
  \]

### Step 3: Subtract the numerators.
Now subtract the fractions:
\[
-\frac{8}{60} - \frac{35}{60} = -\frac{8 + 35}{60} = -\frac{43}{60}
\]

### Final Answer:
The result of the subtraction is:
\[
-\frac{43}{60}
\]

Would you like more details or have any questions?

### Relative Questions:
1. How do you find the least common denominator (LCD) for two fractions?
2. What is the significance of finding a common denominator in fraction operations?
3. How would the process differ if you were adding the fractions instead of subtracting them?
4. What is the process for simplifying fractions after subtraction?
5. How do you handle subtraction when one fraction is positive and the other is negative?

### Tip:
Always simplify your fractions after performing arithmetic operations to ensure the answer is in its simplest form.

Learn how to subtract the negative fractions -2/15 and -7/12 by finding the least common denominator and applying fraction subtraction rules. Suitable for students in Grades 6-8.

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