Problem: A tape of length 13 1/2 have been divided into 9 pieces of the same length what is the length of each piece?

Solution:
To find the length of each piece, we need to divide the total length of the tape by the number of pieces it has been divided into.

Step 1: Convert the mixed fraction into an improper fraction.
13 1/2 = (2 x 13) + 1 = 27/2

Step 2: Divide the total length of the tape by the number of pieces it has been divided into.
Length of each piece = (27/2) ÷ 9

Step 3: Simplify the fraction.
We can simplify this fraction by dividing both the numerator and denominator by 9.
Length of each piece = (27/2) ÷ 9 = (27/2) ÷ (9/1) = (27/2) x (1/9) = 3/2

Step 4: Convert the fraction into a mixed fraction or decimal.
We can write 3/2 as a mixed fraction by dividing the numerator by the denominator.
3 ÷ 2 = 1 remainder 1
So, 3/2 = 1 1/2

Therefore, the length of each piece is 1 1/2 or 1.5 units.

Explanation:
We were given a tape of length 13 1/2 and we were told that it has been divided into 9 pieces of the same length. To find the length of each piece, we divided the total length of the tape by the number of pieces it has been divided into. We converted the mixed fraction into an improper fraction, simplified the fraction, and then converted it back into a mixed fraction or decimal. The final answer is 1 1/2 or 1.5 units.

Conclusion:
In conclusion, the length of each piece is 1 1/2 or 1.5 units.

Answer