To solve the conversion problem, we need to convert 96 feet into yards using the conversion factor [tex]\( \frac{1 \text{ yd }}{3 \text{ ft }} \)[/tex].
Here’s the step-by-step solution:
1. Identify the conversion factor:
- We know that 1 yard (yd) is equal to 3 feet (ft).
2. Set up the conversion:
- We start with 96 feet and multiply it by the conversion factor [tex]\( \frac{1 \text{ yd }}{3 \text{ ft }} \)[/tex].
[tex]\[ 96 \text{ ft} \times \frac{1 \text{ yd}}{3 \text{ ft}} \][/tex]
3. Perform the multiplication:
- Multiply the number of feet by the fraction [tex]\(\frac{1}{3}\)[/tex].
[tex]\[ = \frac{96 \text{ ft} \times 1 \text{ yd}}{3 \text{ ft}} \][/tex]
4. Simplify the expression:
- The units of feet (ft) cancel out, leaving us with:
[tex]\[ = \frac{96}{3} \text{ yd} \][/tex]
5. Divide the remaining values:
- Perform the division:
[tex]\[ = 32 \text{ yd} \][/tex]
So, the answer to the conversion problem is:
B. [tex]\(32 \text{ yd}\)[/tex]
