To simplify the expression [tex]\( 84 \div 7 \cdot (-5) \div (-15) \)[/tex], we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Division: First, we need to divide 84 by 7.
[tex]\[
84 \div 7 = 12.0
\][/tex]
2. Multiplication: Next, we multiply the result from the first step by [tex]\(-5\)[/tex].
[tex]\[
12.0 \cdot (-5) = -60.0
\][/tex]
3. Division: Finally, we divide the result from the second step by [tex]\(-15\)[/tex].
[tex]\[
-60.0 \div (-15) = 4.0
\][/tex]
So, the simplified result of the expression [tex]\( 84 \div 7 \cdot (-5) \div (-15) \)[/tex] is [tex]\( 4.0 \)[/tex].
