Question

write 4 1/8 in decimal form and find what kind of decimal expansion it has. please give me the full solution

Answer 1

41 / 8 = 5.125
It is terminating and non recurring decimal expansion .
Hope it helped....

Answer 2

Given: A fraction-  $4\frac{1}{8}$

To find: Decimal form of the given fraction and type of it's decimal expansion

Solution:  

The given fraction is a mixed fraction. First we need to change it to improper fraction.

⇒  $4\frac{1}{8} = \frac{8 \ * \ 4 \ + \ 1}{8} = \frac{33}{8}$

On dividing 33 by 8, we get 4.125.

So, the decimal form of $4\frac{1}{8}$ is 4.125.

Now, 4.125 is a terminating decimal expansion as digits after the decimal point are finite.

(In terminating decimal expansion, there are finite number of digits after the decimal point.)

Hence, the decimal form is 4.125 and the fraction has a terminating decimal expansion.