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Convert the decimal 0.6333… to a fraction and classify it as either rational or irrational.

A. 57⁄9, irrational
B. 57⁄90, rational
C. 63⁄90, rational
D. 63⁄99, rational

Respuesta :

answer B

We assume        x=  0.6333

100x = 63.3333

  10x=  6.333  33               (subtract it )

----------------------------

 90x = 57 ( divide by 90 on both sides)

So x= [tex]\frac{57}{90}[/tex]

Answer : [tex]\frac{57}{90}[/tex]

When we can write a number in fraction form then it is a rational number.

We converted the  decimal number into a fraction so it is rational

The answer is B. 57/90, rational.

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