14/17 *34/63

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

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

Calculating the numerators and denominators:

1. Numerator: \( 14 \times 34 = 476 \)

2. Denominator: \( 17 \times 63 = 1071 \)

So, we have:

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

Next, check if the fraction can be simplified. The greatest common divisor (GCD) of 476 and 1071 is 1, which means the fraction is already in its simplest form.

Thus, the final answer is:

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