How do you change 0.318181818 recurring into a fraction?

Answer 1

To convert the recurring decimal 0.318181818... into a fraction, we can use algebraic manipulation. Let x = 0.318181818... Then, 100x = 31.8181818... Subtracting the first equation from the second gives 99x = 31.5. Therefore, x = 31.5/99 = 7/22. Thus, 0.318181818... as a fraction is 7/22.

Answer 2

Oh, dude, you just gotta treat that repeating decimal like a pesky fly at a barbecue. So, let's call it x, multiply by 100 to get 31.8181818... and subtract the original x from 100x, which gives you 99x = 31.8181818... Now, just solve for x and you'll have your fraction. Easy peasy, lemon squeezy.

Answer 3

Oh, what a happy little question! To turn 0.318181818... into a fraction, we can call it x and subtract it from 100x to get 31.8181818... Then, we subtract x from 100x again to get 31.5. Finally, we simplify 31.5/99 to 7/22, and there you have it - a lovely little fraction!

Answer 4

Suppose x = 0.31818...

Then 100*x = 31.81818...

So that 99x = 31.5

then x =31.5/99 = 315/990 = 7/22