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They want to know if it converts to a terminating or repeating decimal

They want to know if it converts to a terminating or repeating decimal-example-1

2 Answers

4 votes

Answer:


(11)/(25) = 0.44 (this is a terminating decimal since it doesn't repeat forever)


(4)/(9) = 0.44444... (this is a repeating decimal since it repeats forever)


(5)/(12) = 0.41666... (repeating decimal)


(7)/(8) = 0.875 (terminating decimal)

Hope this helps :)

User Valid
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5 votes

Explanation:

If the denominator of the fraction has only 2s or 5s in its prime factorization, it is a terminating decimal.

Since 25 = 5², 11/25 is terminating.

Since 9 = 3², 4/9 is repeating.

Since 12 = 2² * 3, 5/12 is repeating.

Since 8 = 2³, 7/8 is terminating.

User Adiyat Mubarak
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