Chelsea wants to build some birdhouses. She has a 12 foot board of wood. Each birdhouse needs 3/4 foot of wood. How many birdhouses can Chelsea build?(1 point) Responses 16 birdhouses 16 birdhouses 9 birdhouses 9 birdhouses 1/9 birdhouse Start Fraction 1 over End fraction birdhouse 1/16 birdhouse

Answer 1

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:

1. Divide the total length of the wood board by the amount required for each birdhouse:

\[ \text{Number of birdhouses} = \frac{\text{Total wood}}{\text{Wood per birdhouse}} = \frac{12 \text{ feet}}{3/4 \text{ foot}} \]

2. To divide by a fraction, we multiply by its reciprocal:

\[ \frac{12 \text{ feet}}{3/4 \text{ foot}} = 12 \text{ feet} \times \frac{4}{3} \]

3. Now calculate:

\[ 12 \times \frac{4}{3} = \frac{12 \times 4}{3} = \frac{48}{3} = 16 \]

So Chelsea can build 16 birdhouses.