Question

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. ._.

Answer 1

a)0.3 with a line above the 3 

Answer 2

A. 0.3 (With a line above the 3) (
`0.\overline{3}`)

Explanation:

The part of money used for the bus fare =
`(1)/(3)`

Upon division the value,

`(1)/(3) = 0.33333333....333`

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
`0.\overline{3}`.