Is a repeating decimal a rational number? Explain. (Answer choices are in the picture)

Every repeating decimal is a rational nuber.

A rational number is a number that can be written as the fraction of two integers, with the denominator not being 0.

0.333333... = 1/3

0.555555... = 5/9

0.27272727 = 3/11

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -