Divide
12 `1/12 div5/36`

Answer

To solve the problem \( 12 \frac{1}{12} \div \frac{5}{36} \), we will follow these steps:

### Step 1: Convert the mixed number to an improper fraction
First, we need to convert the mixed number \( 12 \frac{1}{12} \) into an improper fraction.

\[ 12 \frac{1}{12} = 12 + \frac{1}{12} = \frac{12 \times 12 + 1}{12} = \frac{144 + 1}{12} = \frac{145}{12} \]

### Step 2: Set up the division of fractions
Now, we can rewrite the division of fractions as follows:

\[ \frac{145}{12} \div \frac{5}{36} \]

### Step 3: Change the division to multiplication
To divide by a fraction, we multiply by its reciprocal:

\[ \frac{145}{12} \times \frac{36}{5} \]

### Step 4: Multiply the fractions
Now we will multiply the numerators and the denominators:

\[ \frac{145 \times 36}{12 \times 5} \]

### Step 5: Simplify the fractions
Before multiplying, we can simplify the fractions.

1. \( 12 \) and \( 36 \): \( 12 \) goes into \( 36 \) three times.
2. \( 5 \) and \( 145 \): \( 5 \) goes into \( 145 \) twenty-nine times.

So we have:

\[ \frac{29 \times 3}{1 \times 1} = \frac{87}{1} = 87 \]

### Final Answer
Thus, the result of \( 12 \frac{1}{12} \div \frac{5}{36} \) is \( 87 \).

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