Write the number 0.21212121.. as a fraction let x=

We know that numbers with periodic decimals (there are decimals that repeat infinitely) can be written as a fraction of two integer numbers.

Here we have the number:

0.212121...

Where the decimals "21" are repeating decimals, and we want to write this as a fraction.

And we will find that the fraction form of this number is: 21/99

To find it, first let's define:

x = 0.212121...

Now we need to multiply this by 10^n, where n is the number of repeating decimals, here we have two (2 and 1) then n = 2.

Now we need to multiply:

x×10^2 = x×100 = (0.2121...)×100 = 21.212121...

Now we can subtract the original number so we get:

x×100 - x = x×99 = 21.212121... - 0.212121... = 21

Then we just found that:

x×99 = 21

Solving for x, we get:

x = 21/99 = 0.212121...

Then the fraction that we want to find is 21/99

If you want to learn more you can read:

link

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation:

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.