On the next web exercise (finding the average of two signed numbers),
you will need to report your answers in decimal form.
All your answers will be fractions with a denominator of
[beautiful math coming... please be patient]
$\,2\,$,
and you should be able to convert them to a decimal without having
to pull out your calculator!
To convert (say) [beautiful math coming... please be patient] $\,\displaystyle\frac{15}{2}\,$ to decimal form, go through this thought process:
How many times does
[beautiful math coming... please be patient]
$\,2\,$ go into
[beautiful math coming... please be patient]
$\,15\,$?
Answer: It goes in
[beautiful math coming... please be patient]
$\,7\,$ times, with
[beautiful math coming... please be patient]
$\,1\,$ left over.
The answer is
[beautiful math coming... please be patient]
$\,7.5\,$.
Here are the details: [beautiful math coming... please be patient] $$\frac{15}2 \ =\ \frac{14+1}2 \ =\ \frac{14}2 + \frac12 \ =\ 7 + \frac 12 \ =\ 7 + 0.5 \ =\ 7.5$$
To convert a negative fraction (say, [beautiful math coming... please be patient] $\,\displaystyle-\frac{19}{2}$) to decimal form, go through this thought process:
Firstly, the answer will be negative.
How many times does
[beautiful math coming... please be patient]
$\,2\,$ go into
[beautiful math coming... please be patient]
$\,19\,$?
Answer: It goes in $\,9\,$ times, with $\,1\,$ left over.
The answer is
[beautiful math coming... please be patient]
$\,-9.5\,$.
Of course, if
[beautiful math coming... please be patient]
$\,2\,$ goes in evenly,
then you don't need a decimal at all to report your answer.
For example,
[beautiful math coming... please be patient]
$\,-\frac{16}2 = -8\,$.