Chelsea wants to build some birdhouses. She has a 1/2 foot board of wood. Each birdhouse needs 3/4 foot of wood. How many birdhouses can Chelsea build?(1 point)Responses9 birdhouses9 birdhouses116 birdhouseStart Fraction 1 over 16 End Fraction birdhouse19 birdhouseStart Fraction 1 over End fraction birdhouse16 birdhouses
To find out how many birdhouses Chelsea can build, we need to divide the total length of the wood by the length needed for each birdhouse.
Since Chelsea has a 1/2 foot board of wood and each birdhouse needs 3/4 feet of wood, we can find how many birdhouses she can build by dividing 1/2 by 3/4.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
So, we calculate 1/2 ÷ 3/4 as (1/2) * (4/3).
Multiplying the numerators gives us (1 * 4) and multiplying the denominators gives us (2 * 3).
So, the calculation becomes (1 * 4) / (2 * 3) = 4/6.
Simplifying the fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2.
So, 4/6 simplifies to 2/3.
Therefore, Chelsea can build 2/3 of a birdhouse with her 1/2 foot board of wood.