use properties of real numbers to rewrite the expression (3/5)(5/3)..

dont understand.

To rewrite the expression (3/5)(5/3) using the properties of real numbers, we can simplify the multiplication of the fractions.

The property we'll be using is the commutative property of multiplication, which states that the order of multiplication doesn't affect the result.

So, let's rewrite the expression step by step:

(3/5)(5/3)

First, we can switch the order of the fractions using the commutative property of multiplication:

(5/3)(3/5)

Next, we can notice that the numerator of the first fraction cancels with the denominator of the second fraction, and vice versa. This happens because when we multiply the fractions together, we multiply the numerators and denominators separately:

(5/3)(3/5) = (5 * 3) / (3 * 5)

Multiplying the numerators and denominators, we get:

(15/15)

Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which in this case is 15:

(15/15) = 1

Therefore, the expression (3/5)(5/3) simplifies to 1 using the properties of real numbers.