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?
First convert the length of the board to an improper fraction by multiplying the whole number part by the denominator and then adding the numerator: 10 2/5 feet = (10 * 5) + 2 = <<10*5+2=52>>52/5 feet
Then convert the length of each birdhouse to an improper fraction: 1 3/10 feet = (1 * 10) + 3 = <<1*10+3=13>>13/10 feet
Then divide the length of the board by the length of each birdhouse to find the number of birdhouses she can make: 52/5 / 13/10 = 52/5 * 10/13 = 520/65 = <<52/5*10/13=8>>8 birdhouses. Answer: \boxed{8}.