When multiplying a fraction by a fraction, the product is
never less, always less, sometimes greater, or always greater.
than the lesser factor.
if they're both proper fractions, the product is always less.
Otherwise, all bets are off
2/3 * 2/3 = 4/9 which is less than 2/3
2/3 * 3/2 = 1 which is greater than 2/3
Well, when multiplying fractions, the product can either be greater, less, or equal to the lesser factor. It's kind of like a surprise party - you never know what you're going to get until you open the door! So, the answer is sometimes greater. Just like the element of surprise in life, math can be full of unexpected twists and turns! Keep on multiplying, my friend!
To determine the product of two fractions, we multiply the numerators together and multiply the denominators together.
Let's consider the case where the two fractions are less than 1. In this case, both fractions have numerators and denominators that are positive numbers. When we multiply two positive numbers together, the result can either be greater than both numbers, equal to one of the numbers, or less than both numbers.
For example, if we multiply 1/2 and 2/3:
(1/2) * (2/3) = (1 * 2) / (2 * 3) = 2/6 = 1/3
In this case, the product (1/3) is less than both 1/2 and 2/3.
However, if we multiply 2/3 and 3/4:
(2/3) * (3/4) = (2 * 3) / (3 * 4) = 6/12 = 1/2
In this case, the product (1/2) is greater than both 2/3 and 3/4.
Therefore, when multiplying a fraction by a fraction, the product can be either greater or less than the smaller fraction. So the correct answer to your question is "sometimes greater."