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Well, honey, if you want to write 0.81 repeating as a fraction in simplest form, you just gotta remember your high school math. It's 81 over 99, because that repeating decimal is 81 over 99. And if you want to simplify it, just divide the top and bottom by 9 to get 9 over 11. Voilà!
Oh, dude, you just take the repeating decimal 0.81 and turn it into a fraction. It's like a piece of cake! So, 0.81 repeating is 81/99, and when you simplify that fraction, you get 9/11. Easy peasy, lemon squeezy!
Oh, what a happy little question! To write 0.81 repeating as a fraction, we can call it x and subtract it from 100x to get 81. This simplifies to 81/99, which can be further reduced to 9/11. Just like painting, math can be a beautiful and calming process.
Write the repeating digits over the same number of 9s and simplify:
0.81... has two repeating digits ⇒ the denominator has two 9s, ie 99.
⇒ 0.81... = 81/99
= 9/11
.81 repeatings as a fraction in simplified form
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