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Anthony Johns
Mathematics
10 September, 10:06
What is 0.21212121 ... as a fraction
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Samantha Bell
10 September, 10:11
0
If numbers repeat, it's problby divided by 9 or some multipule of 9
if 2 numbers repeat, it's probbalby divided by 99
like 0. abababababab=ab/99
so
0.21212121
21 repeats
so it is 21/99 or 7/33
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Karla Bernard
10 September, 10:24
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If we make the number equal to x ...
0.21212121 ... = x
multiply each side by 100
21.212121 ... = 100x
remember that x is 0.21212121? we can subtract that now from 21.21212121, as well as x from 100.
21.212121 ... - 0.212121 ... = 100x - x
we are left with 21 = 99x
21 = 99x
simplify ...
7 = 33x
and divide!
7/33 = x
Your answer is: 0.2121212121 ... = 7/33
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