An ant stands at one vertex of a rectangular sheet of paper. The ant then proceeds to walk all the way around the perimeter of the paper. The dimensions of the sheet of paper are 3 5/8 inches by 2 7/8 inches. How many inches does the ant travel? Show your work.

p = 2(3 5/8 + 2 7/8) = ____ in

so 13??

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To find out how many inches the ant travels, we need to calculate the perimeter of the rectangular sheet of paper.

The formula for the perimeter of a rectangle is:
Perimeter = 2 * (length + width)

Given the dimensions of the sheet of paper as 3 5/8 inches by 2 7/8 inches, we can substitute these values into the formula:

Length = 3 5/8 inches = 3 + 5/8 inches = (3 * 8 + 5)/8 inches = 29/8 inches
Width = 2 7/8 inches = 2 + 7/8 inches = (2 * 8 + 7)/8 inches = 23/8 inches

Now we can calculate the perimeter:
Perimeter = 2 * (length + width)
= 2 * (29/8 inches + 23/8 inches)
= 2 * (52/8 inches)
= 104/8 inches

To simplify the result, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Perimeter = (104/8 inches) / (8/8)
= 104/64 inches
= 1 40/64 inches

To convert the mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator:
Perimeter = 1 * 64/64 + 40/64
= 64/64 + 40/64
= 104/64 inches

Since the ant travels around the perimeter, the answer is 104/64 inches.