Find the product
`1(1)/(13)xx7(3)/(7)`

Answer

To find the product of \( 1 \frac{1}{13} \) and \( 7 \frac{3}{7} \), we will follow these steps:

### Step 1: Convert mixed fractions to improper fractions
First, we need to convert both mixed fractions into improper fractions.

For \( 1 \frac{1}{13} \):
- Multiply the whole number (1) by the denominator (13): \( 1 \times 13 = 13 \)
- Add the numerator (1): \( 13 + 1 = 14 \)
- So, \( 1 \frac{1}{13} = \frac{14}{13} \)

For \( 7 \frac{3}{7} \):
- Multiply the whole number (7) by the denominator (7): \( 7 \times 7 = 49 \)
- Add the numerator (3): \( 49 + 3 = 52 \)
- So, \( 7 \frac{3}{7} = \frac{52}{7} \)

### Step 2: Write the product of the two improper fractions
Now we can write the product:
\[ \frac{14}{13} \times \frac{52}{7} \]

### Step 3: Multiply the numerators and denominators
Now, we will multiply the numerators together and the denominators together:
\[ \text{Numerator: } 14 \times 52 = 728 \]
\[ \text{Denominator: } 13 \times 7 = 91 \]
So, we have:
\[ \frac{728}{91} \]

### Step 4: Simplify the fraction
Next, we will simplify \( \frac{728}{91} \). We can divide both the numerator and the denominator by their greatest common divisor (GCD).

Calculating \( 728 \div 91 \):
\[ 728 \div 91 = 8 \]
Thus, \( \frac{728}{91} = 8 \).

### Final Answer
The product of \( 1 \frac{1}{13} \) and \( 7 \frac{3}{7} \) is \( 8 \).

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