Let's break down the given mathematical expression step-by-step to find the solution.
Step 1: Evaluate each part of the expression separately
[tex]\[ 18 - 4.3 + \frac{15}{-5} - 1 \cdot (-7) \][/tex]
Step 2: Break it down
- The constant term is [tex]\(18\)[/tex].
- The next term is [tex]\(-4.3\)[/tex].
- The division part is [tex]\(\frac{15}{-5}\)[/tex] which simplifies to [tex]\(-3.0\)[/tex].
- The multiplication part is [tex]\(-1 \cdot (-7)\)[/tex] which simplifies to [tex]\(7\)[/tex].
Step 3: Combine the evaluated parts
Let's substitute back the evaluated parts:
[tex]\[ 18 - 4.3 - 3.0 + 7 \][/tex]
Group the terms in two sections:
Section 1:
[tex]\[ 18 - 4.3 \][/tex]
Section 2:
[tex]\[ -3.0 + 7 \][/tex]
Calculate each section:
- Section 1: [tex]\( 18 - 4.3 = 13.7 \)[/tex]
- Section 2: [tex]\( -3.0 + 7 = 4.0 \)[/tex]
Step 4: Add the results of the sections
[tex]\[ 13.7 + 4.0 = 17.7 \][/tex]
Thus, the step-by-step solution can be summarized as follows:
[tex]\[
\begin{array}{c}
18 - 4.3 + \frac{15}{-5} - 1 \cdot (-7) = \\
18 - 4.3 - 3.0 + 7 = \\
(18 - 4.3) + (-3.0 + 7) = \\
13.7 + 4.0 = 17.7
\end{array}
\][/tex]
The final result is:
[tex]\[
18 - 4.3 + 15 : (-5) - 1 \cdot (-7) = 17.7
\][/tex]
