Question

When you multiply 2/3 by a fraction less than one,how does the product compare to the factors?​

Answer 1

The product is less than either of the factors. Multiplying a number < 1 with 2/3 another number < 1, will give a fraction of a fraction, and part of a fraction is an even smaller fraction. Another way of looking at it: Fractions less than one have numerators smaller than their denominators. When multiplying fractions, you multiply across, so multiplying two fractions that are both less than one will always give a numerator much smaller than the denominator, and a larger denominator makes for a smaller number. I hope this helps, but if you have questions, ask.

Answer 2

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, smaller than either of the factors.