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

Answer 1

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.