Final answer:
The product of 3/8 and 7/8 is 21/64, which is less than 1, since the numerators and denominators get multiplied separately resulting in a smaller fraction.
Step-by-step explanation:
When multiplying fractions, such as 3/8 and 7/8, you multiply the numerators together and then the denominators together. For this particular example, the multiplication would look like this:
(3/8) × (7/8) = (3×7) / (8×8) = 21/64.
The product of 3/8 and 7/8 is 21/64, which is a fraction less than one since both fractions being multiplied are less than one.
By understanding how to multiply fractions, we can draw a comparison: just as one half of one-half is one quarter, the product of 3/8 and 7/8 is a fraction smaller than either 3/8 or 7/8 alone. Additionally, similar to how dividing by 8 is the same as multiplying by 1/8, the product of these two fractions involves multiplying their numerators and denominators, yielding a smaller product than the fractions themselves.