Final answer:
Dividing 1/4 by 7/12 is equivalent to multiplying 1/4 by the reciprocal of 7/12 (which is 12/7), resulting in the answer 3/7. The answer is already in its lowest terms and cannot be a whole or mixed number.
Step-by-step explanation:
To resolve the mathematical expression 1/4 ÷ 7/12, we must first understand that dividing by a fraction is equivalent to multiplying by its reciprocal. In this case, the reciprocal of 7/12 is 12/7. Therefore, the expression simplifies to 1/4 * 12/7, which equals 3/7 when calculated.
This is the final result in its lowest terms as both 3 and 7 don't have any other common divisors other than 1. It cannot be simplified into a whole or mixed number because the numerator is less than the denominator.
Learn more about Division of Fractions