## nuccioreggie one year ago Which rational number equals 0 point 5 with bar over 5? 1 over 50 1 over 5 5 over 10 5 over 9

1. mathstudent55

Since you have answer choices given, you can take a calculator and divide each choice and see which one it is.

2. Michele_Laino

we have to apply this rule: $\Large 0.\bar 5 = \frac{{5 - 0}}{9} = ...$

3. nuccioreggie

I got c

4. mathstudent55

If you will face a similar question without choices, then you need to learn how to convert a non-terminating, repeating decimal into a fraction in a proper way.

5. Michele_Laino

are you sure?

6. nuccioreggie

Yes

7. mathstudent55

$$\large \dfrac{5}{10} = 0.5$$ non-repeating

8. nuccioreggie

I think

9. nuccioreggie

So am i right

10. Michele_Laino

@nuccioreggie you wrote "...with bar over 5"

11. mathstudent55

@Michele_Laino Can you explain your rule above. I'm not familiar with it.

12. nuccioreggie

Am i right or wrong

13. nuccioreggie

Am i right or wrong

14. Michele_Laino

here is the rule, let's suppose to have this periodic number: $\Large 1.25\bar 4 = 1.2544444444....$ then we can rewrite it as follows: $\Large \frac{{1254 - 125}}{{900}}$

15. nuccioreggie

Ok

16. nuccioreggie

Am i right or wrong u still didnt answer my question

17. Michele_Laino

the periodic number is equal to a fraction, whose: numerator is the difference between the complete number and its part which have not an overbar denominator is composed by one 9 for each figure with a bar, and one zero for each figure before the figure with the bar, and after the decimal point @nuccioreggie @mathstudent55

18. nuccioreggie

19. nuccioreggie