Question

Write
0.189

as a fraction in simplest form.

Answer 1

Explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

`0.189 = (189)/(1000)`

Multiply to remove 3 decimal places. Here, you multiply top and bottom by =
`10^(3) = 1000`

`(0.189)/(1) * (1000)/(1000) = (189)/(1000)`

In conclusion,

`0.189 = (189)/(1000)`

the simplest form of
`(189)/(1000)` is
`(189)/(1000)` because

In order to simplify a fraction there must be:

1. A number that will divide evenly into both the numerator and denominator so it can be reduced. No such number exists for 189 and 1000.

or

2. The numerator must be greater than the denominator, (an improper fraction), so it can be converted to a mixed number. 189 is not greater than 1000.

This fraction is in simplest form:

`(189)/(1000)`

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