The sum of 4 y yards and 2i inches equals

a. 6iy feet
b. (12y+1/6)feet
c. 12 1/6 feet
d. (12y+24i)feet
e. 12 1/6 iy feet

please answer and explain

To find the sum of 4y yards and 2i inches, we need to convert both measurements to the same unit.

There are 3 feet in 1 yard, so 4y yards is equal to 12y feet.

There are 12 inches in 1 foot, so 2i inches is equal to (2i/12) feet, or (i/6) feet.

Now we can add the two measurements together:

12y feet + (i/6) feet = (12y + i/6) feet

So the correct answer is b. (12y + 1/6) feet.

To find the sum of 4y yards and 2i inches, we need to convert the yards and inches into a unified unit, such as feet.

First, we convert the 4y yards into feet. Since 1 yard is equal to 3 feet, we multiply 4y by 3:

4y yards * 3 feet/yard = 12y feet

Next, we convert the 2i inches into feet. Since 1 foot is equal to 12 inches, we divide 2i by 12:

2i inches / 12 inches/foot = i/6 feet

Finally, we can add the two converted values:

12y feet + i/6 feet = 12y + i/6 feet

Therefore, the sum of 4y yards and 2i inches is (12y + i/6) feet.

So, the answer is b. (12y + 1/6) feet.