Find the sum:
`(5)/(4) + ((-11)/(4))`

Answer

To find the sum of the rational numbers \( \frac{5}{4} + \left(-\frac{11}{4}\right) \), we can follow these steps:

### Step 1: Write the expression
We start by writing the expression clearly:
\[ \frac{5}{4} + \left(-\frac{11}{4}\right) \]

### Step 2: Combine the fractions
Since both fractions have the same denominator (4), we can combine them directly:
\[ \frac{5}{4} - \frac{11}{4} \]

### Step 3: Subtract the numerators
Now, we subtract the numerators while keeping the denominator the same:
\[ \frac{5 - 11}{4} \]

### Step 4: Calculate the numerator
Now we calculate \( 5 - 11 \):
\[ 5 - 11 = -6 \]
So, we have:
\[ \frac{-6}{4} \]

### Step 5: Simplify the fraction
Next, we simplify \( \frac{-6}{4} \). Both the numerator and the denominator can be divided by 2:
\[ \frac{-6 \div 2}{4 \div 2} = \frac{-3}{2} \]

### Final Answer
Thus, the sum \( \frac{5}{4} + \left(-\frac{11}{4}\right) \) is:
\[ \frac{-3}{2} \]

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