17. When reduced to lowest terms 18/42 =
Answer: B
18/42 reduces to 3/7
When reduced to lowest terms, the fraction 18/42 simplifies to 3/7. This is achieved by dividing both the numerator and the denominator by their greatest common divisor, which is 6.
A) 9/21
While 9/21 is a valid simplification of 18/42, it is not the lowest terms. Both 9 and 21 can still be divided by 3, resulting in the lower term fraction of 3/7.
B) 3/7
This option represents the fraction 18/42 in its simplest form. By dividing both the numerator (18) and the denominator (42) by their greatest common factor of 6, we arrive at 3/7, confirming it as the correct answer.
C) 18/42
This option is the original fraction and does not represent its lowest terms. While it is equal to the simplified version, it fails to reflect the required reduction.
D) 3/6
3/6 is not equivalent to 18/42, as it reduces further to 1/2. Therefore, this option does not represent the correct simplification of 18/42.
E) None of the Above
This option is incorrect because 3/7 is a valid simplification of 18/42. Therefore, stating that none of the above options are correct is not accurate.
Conclusion
The correct answer is 3/7, as it accurately represents 18/42 in its simplest form. All other options fail to meet the criteria for lowest terms or do not represent the fraction correctly, reinforcing that B is the definitive and correct answer.