00:01
So the trick is you to convert any repeated decimal into the fraction will be is falling.
00:09
First we know that the r1 equals to 0 .27, 27, dot, up to infinity.
00:19
So if we want to multiply this one to both sides by 100.
00:27
Why? because it's a two of them here.
00:31
So we need to move 27 to the front of the 0.
00:35
So it will become the comma will move to here.
00:40
So it will become a hundred r1 equals 27.
00:46
Pond 27 27 27 27 and now we write down we write the r1 on the other line now equal to 0 .27 27 27 so we put a line and if we notice that if we do the subjection the result for this one will equal to exactly 27 because all number term here will be cancelled out and now on the left we have a hundred r minus r so equal to 99 r1 so means that r1 equal to 27 over 99 so if we divide both sides both of them by 9, bernicot 2 over 11, and let's say the fraction form of the repeated decimal.
01:40
And something for this one, we have r2 equal to 0 .666...