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Question

Select the fraction(s) which is/are in its simplest form.

A
511
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B
510
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C
310
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D
39
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Solution

The correct option is C 310
511:
Let's rewrite the numerator and the denominator into its factors
Factors of 5:1,5
Factors of 11:1,11
511 is in the simplest form, because 5 and 11 have no common factors other than 1.

510:
Let's rewrite the numerator and the denominator into its factors
Factors of 5:1,5
Factors of 10:1,2,5,10
511 is not in the simplest form, because 5 and 10 share common factors of 1 and 5.

310:
Let's rewrite the numerator and the denominator into its factors
Factors of 3:1,3
Factors of 10:1,2,5,10
310 is in the simplest form, because 3 and 10 have no common factors other than 1.

39:
Let's rewrite the numerator and the denominator into its factors
Factors of 3:1,3
Factors of 9:1,3,9
39 is not in the simplest form, because 3 and 9 share common factors of 1 and 3.

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