Chris can paint 1/6 of a fence per hour. Sandy can paint 1/8 of the (September 2023 - G01)

Correct answer: D. 7/12.

Let's analyze how much each person paints and then add that together to find the total painted.

Chris's rate:
Paints 1/6 of the fence per hour.
Working for 2 hours, he paints 1/6 * 2 = 1/3 of the fence.

Sandy's rate:
Paints 1/8 of the fence per hour.
Working for 2 hours, she paints 1/8 * 2 = 1/4 of the fence.

Total painted:
Combine Chris's and Sandy's painted portions: 1/3 (Chris) + 1/4 (Sandy)

Finding a common denominator:
The smallest common denominator is 12 (least common multiple of 3 and 4).
To get 12 in the denominator for Chris's part, multiply by 4/4: (1/3) * (4/4) = 4/12
To get 12 in the denominator for Sandy's part, multiply by 3/3: (1/4) * (3/3) = 3/12
Add the fractions:

Total painted = 4/12 + 3/12 = 7/12
Therefore, Chris and Sandy will paint 7/12 of the fence working together for 2 hours.