To determine how many birdhouses Chelsea can build with a 12 foot board of wood, where each birdhouse requires 3/4 foot of wood, we can set up the following calculation:
- Divide the total length of the wood board by the amount required for each birdhouse:
\[ \text{Number of birdhouses} = \frac{\text{Total wood}}{\text{Wood per birdhouse}} = \frac{12 \text{ feet}}{3/4 \text{ foot}} \]
- To divide by a fraction, we multiply by its reciprocal:
\[ \frac{12 \text{ feet}}{3/4 \text{ foot}} = 12 \text{ feet} \times \frac{4}{3} \]
- Now calculate:
\[ 12 \times \frac{4}{3} = \frac{12 \times 4}{3} = \frac{48}{3} = 16 \]
So Chelsea can build 16 birdhouses.