Question

for each number, determine if it can be written as a fraction. then state the reason.

	can this be written as a fraction?	reason
0.\overline{47}	∘ yes ∘ no	∘ this is a terminating decimal. ∘ this is a repeating decimal. ∘ this is a decimal that neither terminates nor repeats.
0.83333…	∘ yes ∘ no	∘ this is a terminating decimal. ∘ this is a repeating decimal. ∘ this is a decimal that neither terminates nor repeats.
0.4651…	∘ yes ∘ no	∘ this is a terminating decimal. ∘ this is a repeating decimal. ∘ this is a decimal that neither terminates nor repeats.
0.378	∘ yes ∘ no	∘ this is a terminating decimal. ∘ this is a repeating decimal. ∘ this is a decimal that neither terminates nor repeats.

Explanation:

Answer:

Yes, This is a repeating decimal.
Yes, This is a repeating decimal.
No, This is a decimal that neither terminates nor repeats.
Yes, This is a terminating decimal.