Question

NEEDED BY TOMORROW!

Answer 1

Answer:

$0.375$, 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 $\frac{12}{32}$

Now, let us reduce this fraction.

Both terms can be divided by 4

$\frac{12}{32}/\frac{4}{4} \\\\\frac{3}{8}$

Recall that $\frac{1}{8} =0.125$

This means that

$\frac{3}{8} =3*0.125=0.375$

As you can see. this decimal stops after 3 places, which means that it is terminating.