To compare \(-0.15\) and \(-\frac{1}{2}\), we need to express both numbers in the same form (either decimal or fraction).

### Step 1: Convert \(-0.15\) to a fraction:
\[
-0.15 = -\frac{15}{100} = -\frac{3}{20}
\]

### Step 2: Compare \(-\frac{3}{20}\) and \(-\frac{1}{2}\):
To compare these fractions, we need a common denominator. The least common denominator of 20 and 2 is 20.

\[
-\frac{1}{2} = -\frac{10}{20}
\]

Now, compare:
\[
-\frac{3}{20} \text{ and } -\frac{10}{20}
\]

Since \(-\frac{3}{20}\) is closer to 0 than \(-\frac{10}{20}\), \(-0.15\) is **larger** than \(-\frac{1}{2}\).

### Conclusion:
\[
-0.15 > -\frac{1}{2}
\]

Would you like more details or have any questions?

Here are some related questions:
1. How do you compare two negative numbers?
2. What is the decimal equivalent of \(-\frac{1}{2}\)?
3. How do you convert decimals to fractions?
4. How can you find the least common denominator?
5. Why is a number closer to zero considered "larger" in negative numbers?

**Tip:** When comparing negative numbers, remember that the number closer to zero is always the larger one!

Learn how to compare the numbers -0.15 and -1/2 by converting decimals to fractions and finding a common denominator. This step-by-step solution explains why -0.15 is larger than -1/2, making it suitable for students in Grades 6-8.

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