11'3 divided by 2
Understand the Problem
The question is asking for the result of dividing 11 feet and 3 inches by 2. This requires first converting the measurement to inches, performing the division, and then converting back to feet and inches if necessary.
Answer
5 feet and 7.5 inches
Answer for screen readers
The result of dividing 11 feet and 3 inches by 2 is (5) feet and (7.5) inches.
Steps to Solve
- Convert feet to inches
To convert the total measurement to inches, we need to convert the feet to inches. There are 12 inches in a foot, so we multiply the number of feet (11) by 12 and add the number of inches (3).
[ \text{Total inches} = (11 , \text{feet} \times 12 , \text{inches/foot}) + 3 , \text{inches} = 132 + 3 = 135 , \text{inches} ]
- Divide the total inches by 2
Now that we have the total in inches, we can divide it by 2 to find the result.
[ \text{Result in inches} = \frac{135 , \text{inches}}{2} = 67.5 , \text{inches} ]
- Convert back to feet and inches
To convert inches back to feet, we divide the total inches by 12. The quotient will give us the feet, and the remainder will give us the inches.
[ \text{Feet} = \left\lfloor \frac{67.5}{12} \right\rfloor = 5 , \text{feet} ] [ \text{Inches} = 67.5 - (5 \times 12) = 67.5 - 60 = 7.5 , \text{inches} ]
The result of dividing 11 feet and 3 inches by 2 is (5) feet and (7.5) inches.
More Information
Dividing measurements can sometimes lead to fractional results, as seen with the (0.5) inches. In real-life applications, you may want to round this to a more convenient measurement if necessary.
Tips
- Failing to convert feet to inches before division. Make sure to convert all measurements to the same unit first.
- Forgetting to handle the decimal result correctly when converting back to feet and inches.
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