Final answer:
The product of 3/4 and 2/5 is 3/10, which is less than either of the original fractions (3/4 or 2/5), thus the correct answer is b) No, the product will be less.
Step-by-step explanation:
When you multiply 3/4 by 2/5, you multiply the numerators (3 and 2) together to get the new numerator, and the denominators (4 and 5) together to get the new denominator. So, the product is 3/4 * 2/5 = 6/20, which simplifies to 3/10 after dividing the numerator and the denominator by their greatest common factor, which is 2. The product 3/10 is less than either of the factors, because both of the factors are greater than 3/10. Hence, the correct answer is b) No, the product will be less.
By comparison, 3/4 is 0.75 and 2/5 is 0.4. The product, 3/10, is equivalent to 0.3, which is clearly less than either 0.75 or 0.4. This shows that the product of two fractions is not necessarily greater than either of the fractions when multiplied.