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math

As you complete the table below, you will find that the key to this question lies with the prime factorization of the denominator.
2
9 = 0.2

Fraction Decimal Form Terminate? Prime factorization of the Denominator

1
2

1
3

1
4

1
5

1
6

1
7

1
8

1
9

1
8

1
7

1
9

1
10

1
11

1
12

State a general rule describing which fractions have decimal forms that terminate and which have decimal forms that repeat.

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