Final answer:
The given statement '1/4 x 3/4 = 3/4 x 1/4' is true because the multiplication of fractions is commutative, resulting in the same product regardless of the order of the factors.
Step-by-step explanation:
The statement given is '1/4 x 3/4 = 3/4 x 1/4'. To find out whether this statement is true or false, we can compare the products of the fractions. Multiplication of fractions follows the commutative property, meaning that changing the order of the factors does not change the product. Therefore, the product of 1/4 and 3/4 is the same as the product of 3/4 and 1/4.
Performing the multiplication gives us: 1/4 x 3/4 = 3/16, and similarly 3/4 x 1/4 = 3/16. Comparing these two results, we can see that they are indeed equal. Hence, the correct answer is 'True'.