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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

Respuesta :

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step 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 = [tex]\frac{5}{9}[/tex] ← rational number

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