Question

Rewrite 0.361 as a fraction in the lowest terms ( 100/361, 361/1000, 9/25, 180.5/500)

Answer 1

`0.361 = (361)/(1000)`

Explanation:

Here in this problem, we have to rewrite 0.361 as a fraction in the lowest terms.

Now, we can write the decimal 0.361 as

`0.361 = (3.61)/(10) = (36.1)/(100) = (361)/(1000) = (3610)/(10000)` and so on.

So, it is clear that as the number of zeros in the denominator increases the position of the point moves from left to right.

We can not write
`0.361 = (3.61)/(10)` or
`0.361= (36.1)/(100)` because a proper fraction can not have decimal numbers in numerator or denominator. So, only whole numbers will be there.

Therefore, we will write
`0.361 = (361)/(1000)` as a fraction in the lowest term. (Answer)