Final answer:
The sum of 1/6, 2/3, and 1/4 is 13/12, which is equivalent to 1 1/12 as a mixed number. The common denominator method is used to combine the fractions and the closest match to the provided options is option (d) 13/12 or 1 1/12.
Step-by-step explanation:
The student has asked to find the sum of the fractions 1/6, 2/3, and 1/4. To do this, we need to find a common denominator for these fractions. The denominators here are 6, 3, and 4. The least common multiple of these numbers is 12, which will be our common denominator.
Converting each fraction to have a denominator of 12, we get:
- 1/6 = 2/12
- 2/3 = 8/12
- 1/4 = 3/12
Now, we sum up the numerators:
- 2/12 + 8/12 + 3/12 = 13/12
Therefore, the sum of 1/6, 2/3, and 1/4 is 13/12, which is an improper fraction. This can also be written as 1 1/12 as a mixed number. This does not match with the options provided exactly, but it is closest to option (d) 13/12, or 1 + 11/12.