Question

Which rational number equals 0 point 5 with bar over 5? (1 point)

Group of answer choices

1 over 50

1 over 5

5 over 10

5 over 9

Answer 1

`(5)/(9)`

Explanation:

The bar over the 5 means that 5 is recurring, that is

O.5555....

We require 2 equations with the repeating value after the decimal point

let x = 0.5555... → (1) ( multiply both sides by 10 )

10x = 5.555... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal, that is

9x = 5 ( divide both sides by 9 )

x =
`(5)/(9)` ← rational number