Answer: the product is smallr than either of the factors.
Explanation:
1) Start seing some examples:
i) 2/3 × 1/2 = 1/3, which is less than 2/3 and less than 1/2
ii) 2/3 × 8/9 = 16 / 27, which is less than 2/3 and less than 8/9
iii) 2/3 × 1/10 = 2/30, which is less than 2/3 and less than 1/10.
2) Why does that happen?
Because 2/3 is a number less than 1, such as any proper fraction is. And, whenever a number is multiplied by a number less than 1, the result is a smaller number.
Then, since 2/3 is less than 1, the product will be less than the other fraction. And since the other fraction is less than 1 too, the product will also be less than 2/3.
Hence, you conclude that the product is a number smaller than 2/3 and than the other fraction, i.e. smaller than either of the factors.