Fill in the boxes the correct symbol out of `gt,lt and =.`
`(5)/(-11) square (-5)/(11)`

Answer

To solve the problem and fill in the correct symbol between the two rational numbers \( \frac{5}{-11} \) and \( \frac{-5}{11} \), we will follow these steps:

### Step 1: Rewrite the fractions
The first fraction is \( \frac{5}{-11} \). We can rewrite this as:
\[ \frac{5}{-11} = \frac{-5}{11} \]
This is because a negative sign in the denominator can be moved to the numerator.

### Step 2: Compare the two fractions
Now we have:
\[ \frac{5}{-11} \text{ and } \frac{-5}{11} \]
Both fractions are now \( \frac{-5}{11} \).

### Step 3: Determine the relationship
Since both fractions are equal, we can conclude:
\[ \frac{5}{-11} = \frac{-5}{11} \]

### Step 4: Fill in the symbol
Since the two fractions are equal, we fill in the box with the symbol \( = \).

### Final Answer:
\[ \frac{5}{-11} \, = \, \frac{-5}{11} \]

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