123/456*168/689

To calculate the expression \( \frac{123}{456} \times \frac{168}{689} \), you can follow these steps:

1. Multiply the numerators: \[ 123 \times 168 = 20664 \]

2. Multiply the denominators: \[ 456 \times 689 = 313224 \]

3. Now, combine these results: \[ \frac{20664}{313224} \]

4. To simplify, you can find the greatest common divisor (GCD) of 20664 and 313224. After calculating, we find that both numbers can be divided by 168:

   \[ \frac{20664 \div 168}{313224 \div 168} = \frac{123}{1866} \]

5. You can simplify this fraction further by noting that 123 and 1866 are both divisible by 3: \[ \frac{123 \div 3}{1866 \div 3} = \frac{41}{622} \]

Thus, the simplified form of \( \frac{123}{456} \times \frac{168}{689} \) is: \[ \frac{41}{622} \]