To solve the problem of multiplying [tex]\(-6\)[/tex] and [tex]\(-\frac{7}{2}\)[/tex], follow these steps:
1. Identify the numbers to be multiplied:
We have [tex]\(-6\)[/tex] and [tex]\(-\frac{7}{2}\)[/tex].
2. Multiply the numbers:
When multiplying two negative numbers, the result is positive. So, we first ignore the negative signs and multiply the absolute values:
[tex]\[
6 \times \frac{7}{2}
\][/tex]
3. Simplify the multiplication:
Multiply the whole number by the numerator of the fraction and then divide by the denominator:
[tex]\[
6 \times \frac{7}{2} = \frac{6 \times 7}{2} = \frac{42}{2}
\][/tex]
4. Divide:
Perform the division:
[tex]\[
\frac{42}{2} = 21
\][/tex]
So, the result of multiplying [tex]\((-6)\)[/tex] by [tex]\(-\frac{7}{2}\)[/tex] is:
[tex]\[
21.0
\][/tex]
Therefore, the answer is [tex]\( 21.0 \)[/tex].
