Muitiply denominators, $$ \begin{array}{l} =\frac{5 \times 4}{5 \times 6} \ =5 \frac{5 \times 4}{5} \times 6 \ =\frac{4}{6} \ =\frac{2}{3} \end{array} $$ communitive $$ \frac{5}{5}=1 $$ identity Property

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Let's break down the problem step by step, focusing on the multiplication of the denominators and the properties mentioned.

1. **Multiplying the Denominators:**
   We start with the expression:
   $$
   \frac{5 \times 4}{5 \times 6}
   $$
   Here, we can simplify the fraction by canceling out the common factor of 5 in the numerator and the denominator.

2. **Simplifying the Fraction:**
   $$
   = \frac{5 \times 4}{5 \times 6} = \frac{4}{6}
   $$
   This step shows that we can cancel the 5 in the numerator with the 5 in the denominator.

3. **Further Simplification:**
   Now, we simplify $$\frac{4}{6}$$:
   $$
   = \frac{2}{3}
   $$
   This is done by dividing both the numerator and the denominator by their greatest common divisor, which is 2.

4. **Communitive Property:**
   The commutative property states that the order of multiplication does not affect the product. In this case, it is not directly applied in the simplification but is a fundamental property of multiplication.

5. **Identity Property:**
   The identity property states that any number multiplied by 1 remains unchanged. Here, we see:
   $$
   \frac{5}{5} = 1
   $$
   This shows that dividing a number by itself gives us 1, which is the identity element for multiplication.

In summary, the steps taken to simplify the fraction were correct, and the properties mentioned (commutative and identity) are valid in the context of multiplication. The final simplified result is:
$$
\frac{2}{3}
$$
The simplified result is $$\frac{2}{3}$$.

Muitiply denominators, \[ \begin{array}{l} =\frac{5 \times 4}{5 \times 6} \\ =5 \frac{5 \times 4}{5} \times 6 \\ =\frac{4}{6} \\ =\frac{2}{3} \end{array} \] communitive \[ \frac{5}{5}=1 \] identity Property

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