To divide the measurement 5 yards, 1 foot, and 3 inches by 3, we can follow these steps:
1. Convert yards, feet, and inches to inches:
- 1 yard is equivalent to 36 inches.
- 1 foot is equivalent to 12 inches.
- Given values:
[tex]\[ 5 \text{ yards} = 5 \times 36 \text{ inches} = 180 \text{ inches} \][/tex]
[tex]\[ 1 \text{ foot} = 1 \times 12 \text{ inches} = 12 \text{ inches} \][/tex]
[tex]\[ 3 \text{ inches} = 3 \text{ inches} \][/tex]
- Total inches:
[tex]\[ 180 \text{ inches} + 12 \text{ inches} + 3 \text{ inches} = 195 \text{ inches} \][/tex]
2. Divide the total inches by 3:
[tex]\[ \frac{195 \text{ inches}}{3} = 65 \text{ inches} \][/tex]
3. Convert inches back to yards, feet, and inches:
- Calculate the number of yards:
[tex]\[ 1 \text{ yard} = 36 \text{ inches} \][/tex]
[tex]\[ 65 \text{ inches} \div 36 = 1 \text{ yard} \text{ (with some remaining inches)} \][/tex]
- Subtract the inches equivalent of 1 yard from 65 inches:
[tex]\[ 65 \text{ inches} - 36 \text{ inches} = 29 \text{ inches} \][/tex]
- Calculate the number of feet from the remaining inches:
[tex]\[ 1 \text{ foot} = 12 \text{ inches} \][/tex]
[tex]\[ 29 \text{ inches} \div 12 = 2 \text{ feet} \text{ (with some remaining inches)} \][/tex]
- Subtract the inches equivalent of 2 feet from 29 inches:
[tex]\[ 29 \text{ inches} - 24 \text{ inches} = 5 \text{ inches} \][/tex]
Thus, 5 yards 1 foot 3 inches divided by 3 results in 1 yard, 2 feet, and 5 inches. So, the final answer is:
[tex]\[ 5 \text{ yd } 1 \text{ ft } 3 \text{ in } \div 3 = 1 \text{ yd } 2 \text{ ft } 5 \text{ in } \][/tex]
