The property used in the given situation is the "Commutative Property of Multiplication", which states that the product of two numbers remains the same irrespective of the order in which they are multiplied.
To verify this property, let's perform the following calculations:
First, let's compute the multiplication of 3/6 and 4/7.
- Take the fraction 3/6 and multiply it by 4/7.
Next, we will repeat the operation with the numbers reversed.
- Now take the fraction 4/7 and multiply it by 3/6.
After performing both calculations, compare the two results. If both results are equal, this confirms that the Commutative Property of Multiplication is valid in this case.
After performing the two multiplications and comparing the results, we find that, indeed, 3/6 multiplied by 4/7 yields the same result as 4/7 multiplied by 3/6.
Therefore, the Commutative Property of Multiplication holds true for the given numbers.