Riding the bus, ROger uses 1/3 of his money for bus fare. What is the fraction of his money expressed as a decimal? A. 0.3 (With a line above the 3) B. 0.6 (With a line above the 6) C. 0.8 (With a line above the 8) D. 1.5 (With a line above the 5) I cant figure this out. ._.

Respuesta :

a)0.3 with a line above the 3 

Answer:

A. 0.3 (With a line above the 3) ([tex]0.\overline{3}[/tex])

Step-by-step explanation:

The part of money used for the bus fare = [tex]\frac{1}{3}[/tex]

Upon division the value,

[tex]\frac{1}{3} = 0.33333333....333[/tex]

As this no. is a rational number with recurring decimal. It means that the number after the decimal repeats up to infinity.

Such recurring decimal numbers are represented with a bar or line over the recurring digits.

Thus the given number is represented as [tex]0.\overline{3}[/tex].

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