answersLogoWhite

0

No.

Repeating decimals are rational.

To convert a repeating decimal to a fraction, put the repeating digit(s) over the same number of 9s and simplify:

examples.

  • 0.333...
It has one repeating digit (3) so put it over one 9 (9) to get 3/9 which can be simplified by dividing top and bottom by 3 (the hcf of 3 and 9) to get 1/3. Thus:

0.333... = 1/3

  • 0.181818...
It has two repeating digits (18) so put them over two 9s (99) to get 18/99 which can be simplified by dividing top and bottom by 9 (the hcf of 18 and 99) to get 2/11. Thus:

0.181818.... = 2/11

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

JudyJudy
Simplicity is my specialty.
Chat with Judy
CoachCoach
Success isn't just about winning—it's about vision, patience, and playing the long game.
Chat with Coach
RossRoss
Every question is just a happy little opportunity.
Chat with Ross

Add your answer:

Earn +20 pts
Q: Are repeating decimal irrational
Write your answer...
Submit
Still have questions?
magnify glass
imp