Question

Question 11 (Multiple Choice Worth 1 points

(01.01 LC)
What is the rational number equivalent to 3.12?

Answer 1

`3(4)/(33)=3.\bar1\bar2`

Explanation:

Given:

Simplify The given choice.

`3(4)/(33)=(33* 3 +4)/(33)=(99+4)/(33)=(103)/(33)=3.1212121=3.\bar1\bar2`

`3(8)/(33)=(33* 3 +8)/(33)=(99+8)/(33)=(107)/(33)=3.242424=3.\bar2\bar4`

`3(10)/(39)=(39* 3 +10)/(39)=(117+10)/(39)=(127)/(39)=3.2564`

`3(5)/(39)=(39* 3 +5)/(39)=(117+5)/(39)=(122)/(39)=3.12820`

Therefore, the first option
`3(4)/(33)` is correct.