Evaluate the sum:
`5/(16)+13/(16)`

Answer

To evaluate the sum \( \frac{5}{16} + \frac{13}{16} \), we can follow these steps:

### Step 1: Identify the denominators
Both fractions have the same denominator, which is 16.

### Step 2: Add the numerators
Since the denominators are the same, we can directly add the numerators:
\[ 5 + 13 = 18 \]
So, we have:
\[ \frac{5}{16} + \frac{13}{16} = \frac{18}{16} \]

### Step 3: Simplify the fraction
Now, we need to simplify \( \frac{18}{16} \). Both the numerator and the denominator can be divided by 2 (the greatest common divisor):
\[ \frac{18 \div 2}{16 \div 2} = \frac{9}{8} \]

### Step 4: Convert to mixed number (if needed)
Since \( \frac{9}{8} \) is an improper fraction, we can convert it to a mixed number. To do this, we divide 9 by 8:
- 8 goes into 9 one time (1).
- The remainder is \( 9 - 8 = 1 \).

Thus, we can express \( \frac{9}{8} \) as:
\[ 1 \frac{1}{8} \]

### Final Answer
The sum \( \frac{5}{16} + \frac{13}{16} \) evaluates to \( \frac{9}{8} \) or as a mixed number \( 1 \frac{1}{8} \).

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