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Karina Little
Mathematics
11 September, 00:36
How do I change a decimal in to a fraction. 333
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Pinto
11 September, 00:48
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Well, with recurring numbers, like. 333333 ..., instead of the fraction being / 100, it's actually out of 99 surprisingly.
So in that case, it turns into 33/99
If it were 0.6667,
it would be
66/99
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Willow Vincent
11 September, 01:00
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For non-repeating decimal
0.333 = 333/1000
for repeating decimal 0.333 ...
let x = 0.333 ... (1)
multiply x with 10^n where n=number of unduplicated repeating digit.
in this case only 1 digit which is 3 so we multiply with 10^1 or 10
so 10x = 3.333 ... (2)
now
(2) - (1). 10x - x = 3.333 ... - 0.333 ...
9x = 3
x = 3/9 = 1/3 this is the fraction of 0.333 ...
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