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) birdhouses
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.
To convert the mixed number to an improper fraction, we multiply the whole number (10) by the denominator (5) and add the numerator (2). This gives us 10 2/5 = (10 * 5 + 2)/5 = 52/5.
The length of each birdhouse is 1 3/10 feet.
To convert the mixed number to an improper fraction, we multiply the whole number (1) by the denominator (10) and add the numerator (3). This gives us 1 3/10 = (1 * 10 + 3)/10 = 13/10.
Now we can divide the length of the board by the length of each birdhouse:
52/5 / 13/10 = 52/5 * 10/13 = (52 * 10) / (5 * 13) = 520/65 = 8
Therefore, Sammie can make 8 birdhouses.