Respuesta :

2/3 and 0.667 are rational numbers equivalent to 6/9

Answer:

[tex]\frac{2}{3}[/tex] and [tex]0.\bar{6}[/tex]

Step-by-step explanation:

Given :6/9 is a rational number.

To Find : Select all the rational numbers that are equivalent to 6/9

Solution:

Number = [tex]\frac{6}{9}[/tex]

Divide numerator and denominator by 3

Simplified form :  [tex]\frac{2}{3}[/tex]

Now using calculator [tex]\frac{2}{3}=0.66666666...[/tex]

So,  [tex]\frac{2}{3}=0.66666666...=0.\bar{6}[/tex]

So, all the rational numbers that are equivalent to 6/9 are  [tex]\frac{2}{3}[/tex] and [tex]0.\bar{6}[/tex]

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