Final answer:
To convert fractions to have the same denominator of 12, multiply each by a form of one that converts its denominator to 12: 1/3 becomes 4/12, 1/6 becomes 2/12, and 1/2 converts to 6/12.
Step-by-step explanation:
To convert the fractions 1/3, 1/6, and 1/2 to have a denominator of 12, we look for equivalent fractions that will maintain the relationship between the numerator and the denominator. The fraction 1/3 can be multiplied by 4/4 to get 4/12. Similarly, 1/6 can be multiplied by 2/2 to reach a fraction of 2/12. Lastly, 1/2 can be turned into an equivalent fraction by multiplying by 6/6, yielding 6/12. These fractions are all equal to the original fractions but now have a common denominator of 12, making it easier to compare them or to add them together if needed.