Using the greatest common factor, simplify the fraction 160200

(1 point)
Responses

4/5
16/20
40/50
40

1 answer

To simplify the fraction using the greatest common factor, we need to find the largest number that divides both the numerator and the denominator.

The prime factorization of 160200 is 2^3 * 3^2 * 5^2 * 89.

The prime factorization of 40 is 2^3 * 5.

The greatest common factor between 160200 and 40 is 2^3 * 5 = 40.

Dividing the numerator and the denominator by 40, we get 160200/40 = 4005.

So, the simplified fraction is 4005.
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