Simplify the following fractions:
`(21+6)/(7+6)`

Answer

To simplify the fraction \((21 + 6) / (7 + 6)\), we can follow these steps:

### Step 1: Simplify the numerator and denominator
First, we need to calculate the values of the numerator and the denominator.

- **Numerator**: \(21 + 6 = 27\)
- **Denominator**: \(7 + 6 = 13\)

Now we can rewrite the fraction:
\[ \frac{21 + 6}{7 + 6} = \frac{27}{13} \]

### Step 2: Convert the improper fraction to a mixed number
Since \(27\) is greater than \(13\), we can convert the improper fraction \(\frac{27}{13}\) into a mixed number.

To do this, we divide \(27\) by \(13\):
- \(27 \div 13 = 2\) (whole number part)
- The remainder is \(27 - (13 \times 2) = 27 - 26 = 1\)

So, we can express \(\frac{27}{13}\) as:
\[ 2 \frac{1}{13} \]

### Final Answer
Thus, the simplified form of the fraction \((21 + 6) / (7 + 6)\) is:
\[ 2 \frac{1}{13} \]

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