Convert the repeating decimal to an improper fraction or mixed number. Include your work in your final answer. 3.152

1 answer:

7 0

Assuming the repetitive part is 152, i.e. the original repeating decimal is
A=3.152152152....
then
1000A=3152.152152152152....
subtract A
1000A-A=3152.152152....-3.152152152....
999A=3149
A=3149/999=3+152/999=3 152/999
Therefore
3.152152152.... = 3149/999 or 3 152/999

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Thus,

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