Final answer:
To sum the given fractions (5/15, 1/6, 1/3, 1/12) with a common denominator of 12, we convert them to equivalent fractions (4/12, 2/12, 4/12, 1/12 respectively) and add the numerators to get a final answer of 11/12.
Step-by-step explanation:
The task is to rewrite the given fractions with a denominator of 12 and solve the sum of 5/15 + 1/6 + 1/3 + 1/12. To find a common denominator for these fractions, we can use the least common multiple (LCM) of the denominators, which in this case is 12. Once we have the common denominator, we can convert each fraction and then add them together.
- For 5/15, since 15 divided by 5 equals 3, and 12 divided by 3 equals 4, we multiply the numerator (5) by 4 to get 20/60, which simplifies to 4/12.
- For 1/6, to get the denominator to 12, we multiply both the numerator and the denominator by 2, to get 2/12.
- For 1/3, we multiply both the numerator and the denominator by 4, to obtain 4/12.
- 1/12 is already in the necessary form with the denominator of 12.
Now, with all fractions having the denominator of 12, we simply add the numerators: 4/12 + 2/12 + 4/12 + 1/12 = 11/12. So, the final answer to the sum of the given fractions is 11/12.