To simplify the given expression [tex]\( 54 \div 9 \cdot 3 \)[/tex], we will follow the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Start with the division:
[tex]\[
54 \div 9
\][/tex]
Dividing 54 by 9, we get:
[tex]\[
54 \div 9 = 6
\][/tex]
2. Next, perform the multiplication:
[tex]\[
6 \cdot 3
\][/tex]
Multiplying 6 by 3, we get:
[tex]\[
6 \cdot 3 = 18
\][/tex]
So, the simplified expression is:
[tex]\[
54 \div 9 \cdot 3 = 18
\][/tex]
Therefore, the final answer is [tex]\( 18 \)[/tex].
