Question

zacharys art club ordered a giant sub sandwich for a party. it was 6 feet long! when the sandwich arrived, zachary cut it into 16 equal pieces. how long was each piece? write your answer as a proper fraction or mixed number.
feet

Explanation:

Step1: Identify total length and number of pieces

Total length of sandwich: \( 6 \) feet. Number of pieces: \( 16 \).

Step2: Divide total length by number of pieces

To find length of each piece, calculate \( \frac{6}{16} \), simplify to \( \frac{3}{8} \)? Wait, no—wait, 6 divided by 16. Wait, 6 ÷ 16 = \( \frac{6}{16} = \frac{3}{8} \)? Wait, no, 6 feet divided into 16 pieces: \( 6 \div 16 = \frac{6}{16} = \frac{3}{8} \)? Wait, no, 6/16 reduces to 3/8? Wait, 6 divided by 16: divide numerator and denominator by 2, get 3/8. Wait, but 6 divided by 16 is 0.375, which is 3/8. Wait, but let me check again. Total length: 6 feet. Number of pieces: 16. So each piece length is total length divided by number of pieces: \( \frac{6}{16} = \frac{3}{8} \) feet? Wait, no, 6 divided by 16: 6 ÷ 16 = 0.375, which is 3/8. Wait, but maybe I made a mistake. Wait, 6 feet into 16 pieces: 6/16 = 3/8. Yes, that's correct.

Wait, no, wait: 6 divided by 16. Let's do the division: 6 ÷ 16. 16 goes into 6 zero times. Add decimal: 60 ÷ 16 = 3 with remainder 12. 120 ÷ 16 = 7 with remainder 8. 80 ÷ 16 = 5. So 0.375, which is 3/8. So each piece is \( \frac{3}{8} \) feet? Wait, but 6 divided by 16: 6/16 = 3/8. Yes.

Answer:

\(\frac{3}{8}\)