answersLogoWhite

0

9/11

81 = 9 x 9

9 x 11 = 99

so 0.818181 x 11/9 = 0.999999 = nearly 1

then reversing the fraction

0.818181 = 9/11

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

To convert a recurring decimal to a fraction:

1) Multiply the decimal by 10 to the power of the number of repeating digits.

2) Subtract the original decimal from this

3) put the result of the subtraction over the power of 10 in step 1 less 1

4) Simplify

For 0.818181... there are 2 repeating digits, therefore power of 10 is 2, ie 10² = 100

0.818181... × 100 = 81.818181...

Subtracting original gives: 81.818181... - 0.818181... = 81

Put over 100 -1 gives: 81/(100-1) = 81/99

Simplify: 81/99 = (9×9)/(9×11) = 9/11

User Avatar

Wiki User

7y ago

Still curious? Ask our experts.

Chat with our AI personalities

ReneRene
Change my mind. I dare you.
Chat with Rene
JudyJudy
Simplicity is my specialty.
Chat with Judy
ProfessorProfessor
I will give you the most educated answer.
Chat with Professor

Add your answer:

Earn +20 pts
Q: How do you put .81 repeating in fraction form?
Write your answer...
Submit
Still have questions?
magnify glass
imp