Question

What is the rational number equivalent to 3 point 12 with a bar over 12?

3 and 4 over 33
3 and 8 over 33
3 and 10 over 39
3 and 5 over 39

Answer 1

`(12)/(100)=0.12`

To get the 0.12 to repeat, the trick is to subtract 1 from the denominator


`(12)/(99)=0.12121212...`

Then reduce the fraction.


`(12)/(99)={4}{33}`

now add the 3 to get


`3.12121212.... = 3(4)/(33)`