Convert the following improper fractions into mixed fractions.
`108//52`

Answer

To convert the improper fraction \( \frac{108}{52} \) into a mixed fraction, we can follow these steps:

### Step 1: Divide the numerator by the denominator
We start by dividing 108 by 52.

\[ 108 \div 52 \]

### Step 2: Perform the division
When we perform the division, we find how many times 52 fits into 108.

\[ 52 \times 2 = 104 \]
Since \( 52 \times 3 = 156 \) is greater than 108, we know that 52 fits into 108 a total of 2 times.

### Step 3: Calculate the remainder
Now, we calculate the remainder of the division:

\[ 108 - 104 = 4 \]

### Step 4: Write the mixed fraction
Now that we have the whole number and the remainder, we can write the mixed fraction. The whole number is 2, and the remainder is 4. The denominator remains the same (52).

Thus, we can express the improper fraction as:

\[ 2 \frac{4}{52} \]

### Step 5: Simplify the fractional part
Next, we simplify \( \frac{4}{52} \). Both the numerator and the denominator can be divided by 4:

\[ \frac{4 \div 4}{52 \div 4} = \frac{1}{13} \]

### Final Answer
Putting it all together, the mixed fraction is:

\[ 2 \frac{1}{13} \]