Divide:
h. `(11)/(13) div 1 (1)/(26)`

Answer

To solve the problem \( \frac{11}{13} \div 1 \frac{1}{26} \), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
The mixed number \( 1 \frac{1}{26} \) can be converted to an improper fraction. To do this, we multiply the whole number (1) by the denominator (26) and then add the numerator (1).

\[ 1 \frac{1}{26} = \frac{(1 \times 26) + 1}{26} = \frac{26 + 1}{26} = \frac{27}{26} \]

### Step 2: Rewrite the division as multiplication by the reciprocal
Now we can rewrite the division of fractions. Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we have:

\[ \frac{11}{13} \div \frac{27}{26} = \frac{11}{13} \times \frac{26}{27} \]

### Step 3: Multiply the fractions
Now we multiply the two fractions together. To multiply fractions, we multiply the numerators together and the denominators together:

\[ \frac{11 \times 26}{13 \times 27} \]

Calculating the numerator and denominator:

\[ 11 \times 26 = 286 \]
\[ 13 \times 27 = 351 \]

So we have:

\[ \frac{286}{351} \]

### Step 4: Simplify the fraction (if possible)
Next, we check if the fraction can be simplified. The greatest common divisor (GCD) of 286 and 351 is 1, which means the fraction is already in its simplest form.

Thus, the final answer is:

\[ \frac{286}{351} \]