Question

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

Answer 1

The answer is B. 57/90, rational.

Answer 2

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=
`(57)/(90)`

Answer :
`(57)/(90)`

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