WRITING FRACTIONS WITH A DENOMINATOR OF 2 IN DECIMAL FORM

LESSON READ-THROUGH
by Dr. Carol JVF Burns (website creator)
Follow along with the highlighted text while you listen!
 

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 $\,2\,$,
and you should be able to convert them to a decimal without having to pull out your calculator!

To convert (say) $\,\displaystyle\frac{15}{2}\,$ to decimal form, go through this thought process:

How many times does $\,2\,$ go into $\,15\,$?
Answer:   It goes in $\,7\,$ times, with $\,1\,$ left over.
The answer is $\,7.5\,$.

Here are the details: $$\cssId{s12}{\frac{15}2} \cssId{s13}{\ =\ \frac{14+1}2 } \cssId{s14}{\ =\ \frac{14}2 + \frac12} \cssId{s15}{\ =\ 7 + \frac 12 } \cssId{s16}{\ =\ 7 + 0.5} \cssId{s17}{\ =\ 7.5} $$

To convert a negative fraction (say, $\,\displaystyle-\frac{19}{2}$) to decimal form, go through this thought process:

Firstly, the answer will be negative.
How many times does $\,2\,$ go into $\,19\,$?
Answer:   It goes in $\,9\,$ times, with $\,1\,$ left over.
The answer is $\,-9.5\,$.

Of course, if $\,2\,$ goes in evenly, then you don't need a decimal at all to report your answer.
For example, $\,-\frac{16}2 = -8\,$.

Master the ideas from this section
by practicing the exercise at the bottom of this page.


When you're done practicing, move on to:
Average of Two Signed Numbers

 
 
Rewrite as a decimal (as needed):
    
(an even number, please)