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Question: Express the fraction 48192 in lowest terms.


A ) 16
B ) 15
C ) 14
D ) None of the above

Steps to derive

 [Write the prime factorizations of numerator and denominator.]
1 48 = 2 × 2 × 2 × 2 × 3
  192 = 2 × 2 × 2 × 2 × 2 × 2 × 3

 [Multiply the common factors to get the GCF.]
2 GCF = 48

 [Divide 48 and 192 by their GCF, 48.]
3 48192 = 48÷48192÷48 = 14

4 The simplified fraction of 48192 is 14.



Hence the right answer is Option C

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