Which is larger out of `(5)/(-6)`and `(-7)/(12)`?

Options

A. `(-5)/(6)`
B. `(-7)/(12)`
C. cannot be compered
D. None of the above

Answer

To determine which fraction is larger between \( \frac{5}{-6} \) and \( \frac{-7}{12} \), we can follow these steps:

### Step 1: Convert the fractions to decimal form
First, we will convert both fractions to decimal form for easier comparison.

1. For \( \frac{5}{-6} \):
\[ \frac{5}{-6} = -\frac{5}{6} \approx -0.8333 \]

2. For \( \frac{-7}{12} \):
\[ \frac{-7}{12} \approx -0.5833 \]

### Step 2: Compare the decimal values
Now we compare the decimal values we obtained.

- \( -0.8333 \) (which is \( \frac{5}{-6} \))
- \( -0.5833 \) (which is \( \frac{-7}{12} \))

### Step 3: Determine which is larger
Since both numbers are negative, the one that is closer to zero is larger.

- \( -0.5833 \) is greater than \( -0.8333 \).

### Conclusion
Thus, \( \frac{-7}{12} \) is larger than \( \frac{5}{-6} \).

### Final Answer
\[ \frac{-7}{12} > \frac{5}{-6} \]

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