Sammie bought a 10 2/5 -foot long board to make birdhouses. If each birdhouse uses 1 3/10 feet, how many birdhouses can she make?(1 point)
To find out how many birdhouses Sammie can make, we need to divide the length of the board by the length of each birdhouse.
The length of the board is 10 2/5 feet which can be written as an improper fraction:
10 2/5 = (10*5 + 2)/5 = 52/5
The length of each birdhouse is 1 3/10 feet which can be written as an improper fraction:
1 3/10 = (1*10 + 3)/10 = 13/10
To divide 52/5 by 13/10, we need to multiply the first fraction by the reciprocal of the second fraction:
(52/5) / (13/10) = (52/5) * (10/13) = (52*10) / (5*13) = 520/65 = 8
So, Sammie can make 8 birdhouses.