When reduced to lowest terms 18/42 =

Rationale

{3/7}

To reduce the fraction 18/42 to its lowest terms, we divide both the numerator and the denominator by their greatest common divisor, which is 6. This simplification yields the fraction 3/7, which cannot be further reduced.

A ({9/21}) YOUR ANSWER

While 9/21 is a valid fraction, it does not represent the lowest terms of 18/42. When we simplify 18/42, we find that 9/21 can be further reduced to 3/7 by dividing both the numerator and the denominator by 3. Thus, it is not the simplest form.

B ({3/7}) CORRECT

This is the correct answer as it represents the fraction 18/42 in its lowest terms after dividing both the numerator (18) and the denominator (42) by their greatest common divisor, which is 6. The result is 3/7, which cannot be simplified further.

C (18/42) YOUR ANSWER

This choice is the original fraction and does not represent the reduced form. 18/42 can be simplified, so it does not qualify as the answer to the question asking for the fraction in its lowest terms.

D ({3/6}) YOUR ANSWER

The fraction 3/6 can be simplified further to 1/2, thus it does not accurately represent the simplification of 18/42. Since it is not in its lowest terms, it is an incorrect choice.

E (None of the Above) YOUR ANSWER

This option is incorrect because one of the provided choices, specifically {3/7}, correctly represents the fraction 18/42 in its lowest terms.

Conclusion

The correct simplification of the fraction 18/42 is {3/7}, obtained by dividing both terms by their greatest common divisor, 6. The other options either represent fractions that are not in lowest terms or are simply incorrect, confirming that {3/7} is the only valid reduced form of the given fraction.

When reduced to lowest terms 18/42 =

{3/7}

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