6/7*8/9

To multiply the fractions \( \frac{6}{7} \) and \( \frac{8}{9} \), you multiply the numerators together and the denominators together:

\[ \frac{6}{7} \times \frac{8}{9} = \frac{6 \times 8}{7 \times 9} = \frac{48}{63} \]

Now, you can simplify \( \frac{48}{63} \) by finding the greatest common divisor (GCD) of 48 and 63. The GCD is 3.

Dividing the numerator and the denominator by 3 gives:

\[ \frac{48 \div 3}{63 \div 3} = \frac{16}{21} \]

So, \( \frac{6}{7} \times \frac{8}{9} = \frac{16}{21} \).