Answer:
[tex]0.375[/tex], Terminating
Step-by-step explanation:
Mackenzie has 32 books and 12 of which are by her favorite author.
One of the easier ways to convert something to a decimal is to first start as a fraction. We need to have it be the number of books by her favorite author (12) out of the total number of books that she owns (32)
This in the form of a fraction would be [tex]\frac{12}{32}[/tex]
Now, let us reduce this fraction.
Both terms can be divided by 4
[tex]\frac{12}{32}/\frac{4}{4} \\\\\frac{3}{8}[/tex]
Recall that [tex]\frac{1}{8} =0.125[/tex]
This means that
[tex]\frac{3}{8} =3*0.125=0.375[/tex]
As you can see. this decimal stops after 3 places, which means that it is terminating.
The decimal of the number of books by her favorite author out of the total number of books that she owns is 0.375 and it's terminating.
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