Sure! Let's evaluate the expression [tex]\(\frac{c}{2} - 3 + \frac{6}{d}\)[/tex] step by step when [tex]\(c = 14\)[/tex] and [tex]\(d = 3\)[/tex].
1. First, substitute the values of [tex]\(c\)[/tex] and [tex]\(d\)[/tex] into the expression:
[tex]\[
\frac{14}{2} - 3 + \frac{6}{3}
\][/tex]
2. Next, calculate [tex]\(\frac{14}{2}\)[/tex]:
[tex]\[
\frac{14}{2} = 7
\][/tex]
3. Then, calculate [tex]\(\frac{6}{3}\)[/tex]:
[tex]\[
\frac{6}{3} = 2
\][/tex]
4. Now, we can rewrite the expression with these calculated values:
[tex]\[
7 - 3 + 2
\][/tex]
5. Perform the subtraction first:
[tex]\[
7 - 3 = 4
\][/tex]
6. Finally, add the result to 2:
[tex]\[
4 + 2 = 6
\][/tex]
So, the value of the expression [tex]\(\frac{c}{2} - 3 + \frac{6}{d}\)[/tex] when [tex]\(c = 14\)[/tex] and [tex]\(d = 3\)[/tex] is [tex]\(6.0\)[/tex].
