14/17 *34/63

To multiply the fractions \( \frac{14}{17} \) and \( \frac{34}{63} \), you multiply the numerators together and the denominators together:

\[ \frac{14 \times 34}{17 \times 63} \]

First, calculate the numerator:

\[ 14 \times 34 = 476 \]

Next, calculate the denominator:

\[ 17 \times 63 = 1071 \]

So, the result of the multiplication is:

\[ \frac{476}{1071} \]

Now, let's see if we can simplify this fraction. We can check for the greatest common divisor (GCD) of 476 and 1071.

The GCD of 476 and 1071 is 1, which means that the fraction is already in its simplest form.

Thus, the final answer is:

\[ \frac{476}{1071} \]